How exactly did Red end up as the archmage of the Circle? Were there no other staff who were older/more experienced than him?
Good question! I can't remember in how much detail this was expounded upon in the game, but essentially, all Circles have always had trouble finding and retaining long-term faculty, instructors, and staff. In the old days before the Castigation, teaching positions at places like Solhadur were essentially like collegiate professorships at universities: you'd teach your classes, conduct office hours and head up research and projects, but you still had a home, life, and typically family outside of the school that you would return to once your day or week was over.
After the Castigation, of course, instructors don't really have this luxury: it's not as if you can risk being regularly seen making trips up to "the old abandoned castle" on the outskirts of town and then coming home to your house and family in Capra every night, exactly as if you... worked at the old abandoned castle that used to be a Mage academy, so instructors have to teach and live on the grounds under the same restrictions that the students have. Your whole life has to be about the Circle, by necessity, for everyone's safety. Except that students will eventually graduate after a few years and have the opportunity to leave and go their own ways in the world (if they want to); and teachers don't really get that luxury.
So if you try to source teachers from the outside, you already face a great deal of obstacles: you have to 1) find teachers who are experienced, advanced, and skilled enough at magic to teach it (hard enough when learning magic is outlawed by the Autarchy, so you're already dealing with a drastically-reduced pool of candidates), 2) someone who has the aptitude and demeanor suitable for teacher (further reducing the pool), 3) someone who has the willingness and capacity to devote their lives to the Circle and forego having a family, life, residence, or pursuits outside of it* (reducing the pool even further), and 4) to do all of this scouting, vetting, and recruiting in a way that doesn't result you both in getting caught by the Inquisitors or other authorities.
*There are exceptions to this, of course: nothing precludes the instructor from bringing their family to live with them at the Circle, but this also introduces new complications: what will your partner do for a living? What if your kids grow older and don't want that kind of life, or long to have friends outside of the Circle? Etc.
And then even if you manage to do all of this and hire an instructor, nothing guarantees that they'll want to teach forever. So your retention rate is pretty regular, with some teachers exiting after 5-10 years (and some even less), whether due to retirement or illness or seeking a new career or settling down and starting a family/lifestyle that isn't compatible with the Circle or having to go back home to take care of someone, or any number of reasons; but your hiring rate is drastically reduced.
(What about hiring internally, you ask, rather than finding instructors from outside the Circle? Well, consider your average high school or small college population. Of all the students you graduated with, how many of them would want to stick around after graduation to continue teaching? Let's say that number is higher than average because of the altered circumstances of the Autarchy: there aren't a lot of professions that allow young Mages to keep using their powers in a way they've now become accustomed to, so let's say interest in staying on as a staff member is far higher than the average student population. But of that number, who are also actually suited to be good teachers?)
Anyway, in the early days of Archmage Tevanti's tenure, he was actually pretty successful at scooping up a great number of faculty members who were interested in helping maintain the Circle: he was the son of the last Archmage of Solhadur and had that clout going for him, and he was very old when he died (around 200), so when he started his recruiting, it was actually in the early years directly after the Castigation. So there were still a number of pre-Castigation educated Mages willing and able to teach, and under his leadership, he garnered more over the years. But once he got older, active recruitment stagnated, partially because he already had his set faculty members and wasn't actively seeking new, fresh, younger blood; and also because the difficulty and danger of traveling on the roads seeking Mage instructors increased with the return of the Endarkened as well as heightened activity and zealotry from the Inquisitors, especially once Enik took charge. By the time Archmage Tevanti died, recruitment efforts had basically halted entirely, and it was left to "his" generation of teachers to keep things going. But over the years, many had already retired or died at the normal rate of decay, so where he may have started with, say, 40, in his twilight years there were 10. It was just bad luck that, because they were all of similar age to him, many of them also became ill, retired, or passed away around the same time as him, just before, or just after; so by the time it came to choosing a successor, the "senior" generation of faculty members were pretty much all gone or on the way out, and the middle generation were exiting for their own reasons (too dangerous, tired of teaching and quitting after a normal rate (say five years), wanting a career change or new pursuits, settling down and starting families, disheartened by his loss, etc.). So, to his thinking, you'd want someone younger, stronger, and sharper, someone who has a lot of years to give and isn't prone to noping out because of the demands of middle age or looming retirement, someone who could tackle this enormous task of being Archmage with the necessary fresh perspective and vigor of youth... which is why he chose someone like Red, and not the fifty-year-old Charms instructor who had indicated he would be retiring soon to spend more time with his granddaughter within a few years. It was just really, really bad luck that Red's stepping into the role coincided with anyone more senior than him (who could at least serve as an advisor or consultant or mentor) being eliminated/whittled down due to unfortunate circumstances and extremely bad timing: I think he mentions some professors were there to help him in the first years, but one was hit by a curse, one fell ill, and etc. It was probably on Archmage Tevanti to have recruited younger, fresher teachers sooner so Red would have a pre-established faculty before he took over, but again, a lot of circumstances prevented him from being as active in his recruitment as he should have (not even mentioning his long illness), and he really couldn't have predicted how things would go.
This is a long explanation, but hopefully that paints a better picture of how Red was essentially launched into a very stressful position without the guidance and direction Archmage Tevanti was expecting he would have, and why many of the teachers currently at the Circle are around the same age as him! However, after joining the Shepherds, there's obviously a lot more contact with Mages, so the faculty is more diverse in age and experience again and he can take a step back from his Archmage duties without feeling like it's all on him, as there's an actual support system for it all now! Hope that all makes sense!