Should I quit?

So I got my first job at a LTC facility as a PRN. Average ratio is 1:30+. Oriented for a little over two weeks over 2 months on day shift even though I was told I'd be able to be oriented on evening (which is my shift). When I was finally granted these last 2 orientation days, my preceptor left me on the cart alone; she didn't really check up on me, and when she did, she'd rag on me for not being fast enough. There was a point where she basically said I was incompetent. I was not allowed any more orientation days, and there was a month gap until I was called in (on purpose, which is another issue). My first day back was a disaster. Came back the second day and I'm 99% sure everyone had heard about it from the looks I was given. It was better but I didn't finish everything. Third day, the other staff nurses literally argued that I should be on the subacute floor, and so I was floated off even though the bosses had said I wouldn't work there (yet). So..I don't know any residents, and there were admissions coming in. I'm still working at my medications, so the supervisor had to take them. I walked in on her complaining about me. I also ended up being reprimanded by this supervisor and the incoming night nurse for different things. I've been coming home in the early hours of the morning. Currently scheduled for a few more days.

I've left out a lot of details, but these are some events that have been bugging me. In a a couple of months I will have my BSN.. My physical and mental health have taken a turn for the worse. So would it just be better to quit and wait it out until I have it? I feel bad that I only have 3-4 months of experience, if you would call it that.