That automatic power on function is a Dell function in BIOS, because Windows does not have any setting like that.
Your screenshot does seem to indicate a problem with BIOS, it may be the CMOS battery, but only if your PC is say more than 5+ years old, it would be unusual for the CMOS battery to need replacing before that.
A CMOS battery cannot be re-charged, it needs to be replaced.
Try resetting your BIOS first to see if that resolves the problems.
Start your PC, then on the Dell logo screen, repeatedly press the F2 key.
In BIOS, find the option to restore defaults and apply that, save those settings and restart your PC to see if that resolves the problems.