You forgot regular model work. She only gets excluded from that if she cannot work with Axel, doesn't even have to love Axel either, just not hate him. She also can work with Stan and Danny's friend as well for a couple of extra modeling gigs. Bartending was also just introduced, with the hint that she might become a dancer alongside Ivy. Her singer / songwriter contest could lead to more work in the future.
Keep in mind that when we are introduced to Lena she is young and struggling. The cafe pays for Lena's normal expenses, the modeling gigs allow for an outfit or to send extra money to Lena's parents. All the "bad" jobs are supposed to be an easy way for Lena to earn money, to allow Lena to purchase everything, but none of them are necessary to do just to survive.