Hi Andy,
It might be worth having a play on the bench….a couple of guidelines (from past experience) :
1. I can't see your motor connectors in the photos, but, if there are two wires to power a motor, then the ESC is for a brushed motor.
2. If three motor wires, then it's for a brushless motor. (Swap any two to reverse direction).
3. Start experimenting with the lowest voltage you have and build up in small steps….
4. Use old motors, known to be good – worst case you may burn a few out.
If there is a burning smell from the ESC disconnect straight away. Wear safety glasses just in case.
Good hunting !
Dave