Will getting my female cat spayed help with her disobedience?

I should have done it a long time ago honestly but it was one of those things I had to keep putting off as I tend to get sick a lot and recently I found out I was internally bleeding, but I can't take it anymore. She was fine as a kitten but as she got older, the disobedience began. She pees on everything, even people! She will walk right up to my mom and take a pee on her, and she knows where and how to use the litter box because when SHE feels like it, she'll use it. I give one bath a month, and every time she knows it's coming and I've caught her, she'll squat and pee as I pick her up. She bites, scratches, and claws anyone except me that comes to close and recently she hides out in the laundry room all day and almost never comes out. She climbs on to the counters and eats our food that we are either letting thaw for supper or something along those lines. I have tried what I feel like is everything to keep her off the counters and it does no good. I'm at the end of my ropes! I've tried spray bottles, a small swat, upside down mousetraps (something I found in a book), tape...She just doesn't stop, and the way she does what she does, I know she knows what she is doing is wrong but she is doing it just to spite everyone in the house. She won't let anyone but me give her attention when she is out. My male cat who is neutered and older just became an inside/outside cat...Mostly outside cat because he would rather be outside and is happier there. If her behavior doesn't stop I might just have to give her away or something...help?