My take on all the main sinners sins
Angel- Gluttony, he is always looking for more of what will make him feel better in the moment. We see this with the way that he treats drugs and the way he treats Husk at first. He wants to feel better now no matter what the cost of that is. That's why his journey involves him putting himself in uncomfortable situations instead of takeing the easy way out.
Husk- Sloth, Husk knows how to help himself. We see with Angel that he understands what will make his life better he simply wont do it. It's becuase he thinks this is what he desvers that cuases him to have inaction. His ark is him learning to become more active instead of leting life happen to him.
Nifty- Lust, she is always after something just put of reach. She is never very of what's happening in the present moment. In season 1 she is constantly hitting on the guys with out any real intrest in them as people. That bit after it starts with sorry where she calls him not a bad boy and kicks him. Even outside of that her obession with unobtainable things like single handedly cleaning the whole hotel or killing all the rats and roaches is her defining trait. What will she do when she gets there? Fine the next thing to pursue. That's why her ark is her geting close to Baxster as a person.
Alastor- Wrath, his motivating force is being mad at shit. He's mad at Rosie for controlling him, he's mad at Vox for wanting to use him, he's mad at Lucifer for haveing power he dosn't have acess to. There's a case to be made for envy but if felt safe he wouldn't be envious. He feels endangered by being less powerful than anyone and his fight or flight picks fight every time.
Mimzy- Greed, obviously she has that tattoo. Girl takes what she wants and dosn't care if her friends end up paying her tab.
Vox- Envy, obviously that's just brighter. Man is never content.
Vel- Pride, "I'm that hashtag bitch and I will do exactly what I please."
Val- Greed, Val has everything he could ever want and is a workaholic. He wants "hot new angel sults", he wants angel all the time, he wants Vox all the time, he wants make flim after flim after flim. It's never enough things for him. He always wants more.
Carmmila- Sloth, her magir sins are inaction. She dosn't want to fight the angels out of fear. She dosn't want ti stand up to Vox out of fear. She needs to take action when she really wants to take no action.
Rosie- Gluttony, It's a bit in the more with the cannibal and I nearly said greed but, her sins are more about indulgence than trying to get more. (I also almost said pride but I feel like thats saying Alastor is pride) I think wanting more than her fair share of the deal out of Alastor is Gluttony. She is stringing out this deal so she can get more out of it instead of geting what ever it is that she needs him to do. As Bee says in helluva boss. "I'm what you want not what you need."
Pentious- Sloth, like with Carmilla and Husk, Pentious knew what the right thing to do was and chose inaction instead. His redemption was learning to take action instead of sitting on the sidelines.
Cherri- Wrath, she is angry all the time.
Baxter- Pride, he thinks he is the best.