Kinda what MJ said, here are all of mine. If any of them strike your fancy/have something in common (or not) we can develop a line after that:
~adelaideprussel - Adelaide, staff psychologist - tends to see Agents in a professional capacity as a psychologist, does her best for them. Wants to be friends with people but isn't hard to take the hard line when she needs to. (I know that Jag's counselling is being handled by Dr Romero, but Adelaide's door is always open to him)
~stolen--moments - Alex, team Dagan & Winter - ex cop, psychic, flirtatious madam who likes to have a good time but has no confidence in her powers and found out she was as super literally in Feb this year.
~sanandum - Avery, team Lucas - Healer, literally nothing else. Sarcastic and awkward but friendly enough. Has been in Limbo since she eighteen, she'll be 30 this year. Been with the regiment since she was 11. She literally knows nothing else.
~chargedphase - Chloe, team Lucas - new to Limbo after causing an accident that killed one of her brothers and a few other people. Will be fresh off the boat on the 16th. Pretty much a mess but usually she's pretty friendly, nice girl. Could do with some friends.
~shufflethetarot - Clara, team Lucas - one of the Cheshire escapees. Broken in the mind. Can't tell the time. Sees the future, relatively often. Also sees the past, and the present. Usually at the same time. Pretty much always surrounded by one or more of the Cheshire lot so seeing her alone is difficult. Not good with people.
~frostyreception - Ellie - shooting range manager - was in Maine for a little bit but spent most of her time in Dakota before moving to Limbo recently. Friendly enough, certainly friendlier at the outset than Lucas is to most people.
~homeisse1: Mason - team Scott - pretty much a little shit. He's only been in Limbo, pretty much keeping to himself, doesn't trust easily, will fight you.
~shewhodrifts: Holly - handler - no nonsense, was in the Everglades for a while but couldn't stand the way some Handlers treated their agents. Instead of listening to her she was transferred to Limbo a number of years back.
~-poprocks: Jason - team Carson & Kingfisher - bubbly, friendly, sporty jock type who likes people and generally is an outgoing dude. He spent nine years in Texas before coming to Limbo.
~hotbloodedone: JP - team Russell - sardonic, sarcastic whatsit who likes conspiracy theories, philosophy, reading and asking probing questions. He was in the Everglades for a couple of years before coming to Limbo.
~tuftsinthewind: Juniper - team Russell - big winged cinnamon roll. She's not really got many friends, has struggled to find her footing as it were. She's pretty self-conscious but could definitely do with some more friends.
~hearseverything: Sandy - team Rachel - one of the outsiders, hates literally everyone. She's defensive and aggressive, fiercely protective over the people that she considers hers. She was in Texas before she came to Limbo but spent most of that time in a medically induced coma.
So these are mine! Pretty sure there are lines in there somewhere, especially for those that were at the same base for a while :)