Birth control question!

I’ll start off by saying I’m 37 and have 4 kids. We were done after the 3rd (13 years ago) but had a surprise baby last year. We are still BFing but I’m trying to decide what’s best once my little one is weaned.

So, I’m wondering if BC would help with my hormones being out of wack? I have no sex drive and my face is broken out so badly.