Hello Bogdanovas,
I understand that you are inquiring about the beep tones on your motherboard and the power on process that is going on when you press the power button.
In regards to the beep tone, it is normal for some BIOS versions not to make the post beep tone, it will depend entirely on the BIOS that you have, but if you wish to check if the motherboard speaker is working, you can test the motherboard with no RAM memory installed.
In regards to the power on process, this seems like there is some sort of power or POST issue, I recommend you to test the system on a basic configuration, test a different power supply and replace the CMOS battery. The system should boot up at the first press of the power button.
Regards.
PV