If you have 5 solenoids the first one on drivers side is to turn power on to the rest, then each one toward passenger side is next step up in speed. Take your seat off, Jack up the rear of cart and make sure its SOLID, and then BLOCK THE FRONT WHEELS so there can be NO MOVMENT WHILE TESTING.
Turn key on and move F&R switch to forward position and then slowly push down on pedal and listen for ( 5 ) clicking sounds as you get further down. IF YOU GET MOTOR ACTION ( DO NOT ALLOW MOTOR TO GET TO SPEED ) as you will throw armature windings DESTROYING MOTOR.
If you have power through solenoids and still no power to motor then check your resistors for bad connections or broken wires. Just because a solenoid clicks doesnt mean its making power transfer correctly?
If you get all 5 clicks then you need to check each solenoid with volt meter for 36 volts. If no clicks you may have a problem with your speed control micro switches or the board that moves them can be worn enough to not turn each micro on in order.
BE VERY CAREFULL WHILE DOING ANY TESTING. NO RINGS, SCREWDRIVERS, WRENCHES ETC IN BATTERY COMPARTMENT, I have had rings cut from my fingers and watches cut from my arms from being careless and its not fun