Thanks for your support, @mikb55
The case I had described was caused by that chip and I was extremely close to buying new nano, but unexpectedly found another way.
The problem was I flashed my arduino clone like standart arduino nano, but as a beginner I didn't even know there are different devices and different ways to flash them.
Finally i found materials about exactly my chip: GitHub - dbuezas/lgt8fx: Board Package for Logic Green LGT8F328P LGT8F328D and LGT8F88D
and the manual about flashing exactly my device: Nano 328P-LGFP32 V3.1 · Issue #210 · dbuezas/lgt8fx · GitHub
Arduino IDE settings for Arduino Alpha Nano V3.1 LGT8F328P LQFP32
now I have no issues neither with CANBUS nor with clock.