My brother has a membership to a local gym, called Energy. I'm going to pay him for 2 months and I already called the gym and they said that I can simply transfer the membership into my name when I go down there. I'm going to go there today and transfer the membership and do my upper body workout.

Cord, banking on the fact that the gym has everything any other no-nonsense gym would have, which I will confirm later after I go there, would barbell back squats, overhead squats, and weighted crunches be good exercises for my leg day?
It's not because I can, but because you couldn't if you tried.