Um.. how about you try booting the machine without the keyboard connected?

Anyway... all Amiga's should boot without a keyboard or when the keyboard is faulty. The first thing to try is to swap the CIA chips. They both control different sides of the Amiga peripherals and some internal timing.
By swapping the CIA's first you might get a different boot problem.
IF you get further into the boot sequence then begin to swap chips. It is very unusual to burn out something on the motherboard unless you have inserted parallel/serial/mouse cables while the machine is powered on.
This is a good way to fry CIA's and sometimes the logic on that port, resister or diodes etc
Az