When you press play, a different clutch and idler spindle drives the takup spindle idler. That's the reason FF and rewind work. If the takeup wheel isn't spinning, it shuts the deck down because its tied to the counter. It does this to save your tape since it's likely the capstan is engaged. Which leads me to the possibility that your pause may be stuck on your mech. When you press play, don't just look at your takeup spindle. Look at the rubber pinch roller. If it's also not engaged, then Pause is engaged in the mech but the switch isn't closed to tell the auto stop circuit that it's paused so it kicks it off.
If the pinch roller is moving but the takeup spindle isnt, then that would sound to me like a failed play clutch or worn idler on the play clutch that spins the tire on the takeup spindle.
It's one of those scenarios.