Those so-called “filter bandits” can be very costly. I had to repair a HVAC system that has been run for years without a filter. The evaporator coil was almost completely plugged up and the heat exchanger was destroyed. The system was quite old so I ended up replacing it.
As for the motor, check several HVAC supply stores in your area. The motor might be a little expensive, but consider yourself lucky that you caught it before the evaporator coil froze up and slugged the compressor. Resistors are sealed pretty well so it might just be fine. They’re cheap from a local electronics parts store so you might as well just replace them, though.