Your landlord does not have to accept your rent if it is late and can file an unlawful detainer. It is unfortunate in the situation that you describe that the landlord would, especially if you have not been late before. You may want to go to your local legal aid for help if you feel you are being wrongfully evicted. The reality is, if your situation is one of frequent late rent, you are likely going to have to find a new place to live and you may want to come to an agreement with your landlord and his attorney if he has one so that you avoid an eviction on your credit. A demurrer because he wouldn't acknowledge your calls and take your rent is not going to be successful.
Did he serve a 3 day notice to pay or quit? if so, and you didn't tender the payment, he can file a UD action.