Typical capstan repair process
A common defect affecting these machines is a "runaway capstan" problem, where it makes loud whirring noise and runs at a much higher speed than usual.
In most cases you only need to replace electrolytical capacitors C5, C7, C9, C13, C15, and the ceramic C2 to get it back to normal. Once it's working, use speed calibration process from the service manual. Also check the voltage on the cathode of the zener (under C15 at the picture below, right-hand lead) to be about 9V.
If you have replaced all the capacitors listed above and it's still making noise, that probably means that one of the traces has corroded through and disconnected. Check continuity of all traces on the board with an ohmmeter on a high setting, in particular to the left of the center hole. You can also compare signals at the ends of traces with an oscilloscope while it's running. I've seen two cases where the trace between C7 and R4 has corroded right at the edge of the pad of C7, one case with the trace between IC1 and C16, on the edge of IC1 pad, and one case with the ground bus between C7 and the zener.
After repair is done I recommend using flux remover to wash off all flux residue to reduce the chance of further trace corrosion.