Employment Law Questions? Ask an Employment Lawyer.
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You can certainly start looking for another job now. Unfortunately, since employment in CA is "at will" absent an express agreement to the contrary, you could legally be terminated based on these sorts of complaints. It's unfair, but "at will" employment means that employers don't need a fair or even true reason to let you go.
I hope that you find this information helpful and am genuinely sorry if it is not what you were hoping to hear. Please do not hesitate to let me know if you have any questions or concerns regarding the above and I will be more than happy to assist you further.