Do you mean that running the motor from your bench supply without the board still gives very unstable behavior? It *should* run steadily at around 9V, obviously without speed regulation, i.e. it is expected to slow down if you run the pully against your finger. If it is at all erratic, then the motor has an electrical or mechanical problem, and further dismantling (or an equivalent new motor) will be required.
If the motor is erratic, lets have a good closeup look at the back of the motor now the board is off to see if there's any way to get at the commutator without wrecking the brushes. Its fairly obvious that if the three clips are pushed in, the back plate should come off, but:
You can't pull off the back cover of the motor without trashing the brushes! although there might be disassembly pins/holes not sure.
*IF* you can gain access safely, at the minimum the contactor can be cleaned and the brush springs retensioned hopefully resulting in smooth running (if the brushes aren't so worn they are a lost cause) and if they are too worn, we may be able to suggest a source for replacement brushes. If the commutator is FUBARed you'll need a replacement motor and to transplant the pully.
Lubricating the front and rear bearing bushes with
ONE SINGLE SMALL DROP of sewing machine oil, spindle oil, or other non-gumming light machine oil would be a good idea. Turn it by hand to distribute the oil, blot up any excess, run under power then blot again. Its especially important not to overlubricate the rear bearing as if any oil gets on the commutator when its running, it will rapidly kill the motor. For the front bearing its less critical, and you can usually run some oil in down a toothpick or similar behind the pully then thoroughly clean up any that got on the pully or body. *DON'T* USE WD40 or similar spray lubricants, as they almost invariably get where they shouldn't then dry out and turn to goo!