I found this thread after having dealt with an X-2000R machine recently. It sounds like the OP's problem was the beginning of the problem I encountered.
The customer had brought the machine in for belt replacement, cleaning and lubrication. After doing all of that, I threaded the machine and found that it would not take up the tape in either direction and it would not rewind or fast-forward. I spent a great deal of time getting to know the circuit (!) and could not seem to nail down the problem.
Partly through analysis and partly through accident, I discovered that when the tensioning arms (which have photo sensors in them) were "in between" states, it would start to work. This means that the photo transistors were partly conducting and passing a small amount of voltage to the circuit without triggering the shut-off circuit.
In looking at the circuit, I could not determine just where they intended to get some of the voltages needed for the reel motor circuit to operate. If you look on the schematic to the sensor PCBs (for the tensioning arms), you will see that they connect to D120 and D122. These are zener diodes that are supposed to have approximately 5 volts on the cathodes of the diodes. I can't see where this voltage is supposed to come from.
My solution was to add a 30 K Ohm resistors from pin 1 to pin 3 of both P120 and P121. These are the connectors for the sensor boards for the tensioning arms. These resistors supply the needed 5 volts to the diodes, and to the op-amps that they connect to. This allows the circuit to work. I selected 30K through hooking up a potentiometer up and adjusting it to the approximate correct voltage. 30K is a non-standard value, I suppose 33K May work, but two 15K in series for each sensor connector would give you what is needed if you don't have a 30K available.
As far as this machine is concerned, I don't think it was one of Teac's best efforts. It's not exactly elegant circuit design and it's finicky mechanically (the dual capstan/pinch roller setup is troublesome). Once everything is right with it the machine performs well. But I have an awful feeling in the pit of my stomach that I will see this again, and it won't be like seeing an old friend whom I miss.
I hope this helps someone else who may encounter this problem.