Middle Class Struggles
Old crew: Couple hummies, maybe a Trandoshan, one droid (security-type)

Nah, no real crew name, just people.
and those are just the 4 closest ones. the gang itself is probably larger
They were doing "darker" deeds that drove you away?
Moving that way, yeah. Probably, the larger gang always was, they were just working us in slowly.
Is this gang apart of the Hutt's cartel?
No, just hired out
Ok and did they have a name?
Just known by the current leader. Like Char-kan's Gang or something.
Which will be interesting, because it means the gang name changes based on who is running it, which, might affect/explain why they aren't as well known/often hired.
Name keeps changing as the top leaders shank each other

Opportunity knocks

While I owe them no monetary debt, and did nothing malicious to them, the fact I left and went freelance means I "betrayed" them. So, to get even, the took a contract for Kosarba the Hutt (Works the outer rim. Hutt Cartel boss on Voss (newly established).), intentionally failed it, and threw me under the bus for it. So, Kosarba and my old squad are both on my ass.