My question involves labor and employment law for the state of: California

Hello,

At the beginning of the month my employer told me that “things aren’t working out” and that she is going to extend my probation period (I’ve been there 90 days). She told me that I was excellent in everything except I made typos occasionally. The following week she told me that she was looking for a replacement and she would pay me till the end of the pay period which is October 31. She never officially said I was fired or discharge, I’m just assuming it because she started interviewing people. Today, she told me she found a replacement and I would have to train her on Thursday and Friday to do billing (we usually do bills at the beginning of the month). However, I did not anticipate working after the 31st since she told me I was only being paid up to the end of the pay period. Do I have to train this person? Would it be considered a “quit” if I didn’t show up on the 1st? Am I still eligible for unemployment under these circumstances? Also, I have sick and vacation time; will I forfeit this if I do not show up for work on 1st? Can I use my sick time for the remaining time I am there? I wasn’t given an employee manual and not sure if one even exists. Any insight would be greatly appreciated, I’m so confused.