What does "I gets mine" mean?

Solution 1:

Apparently Leon is wearing a bandana, so that's what Larry means by this shit on your head. And wife-beater means a sleeveless singlet/vest (I think it usually means a dark blue one; I don't know if it's relevant that this one is green). Larry clearly thinks Leon doesn't look attractive.

Leon says gets rather than get just because it's "cool" to be ungrammatical. When he says mine he means my oats (his character might well not know of that the missing word). Basically, he's saying that he gets his oats (he gets plenty of sex), so Larry shouldn't assume his appearance is off-putting to women.