Wow, this is why restorers that don't know anything about electronics shouldn't be permitted anywhere near the insides if a BOOMBOX, much less a grail. Knowing a little is worse than knowing nothing at all because that's usually just enough to get into and cause big trouble.
Try testing the values of those fusible resistors. The click on power on and off is normal as the controller cycles the deck. The click suggests no or not enough current to complete the task. I'll bet the original motor was probably fine before they yanked it.