Take your record platter off. Make sure the belt in on. If not, put it back on and then try it. If it is on, remove it and plug in the turntable. Make sure the motor is turning when you turn on the turntable. Move your tonearm that is the long arm goes on the record platter and carries the needle and check again. If it is not turning, then it could be your motor of your power supply. Make sure your power supply or wall wart that plugs into the outlet is putting out power. You may have to check it with a digital multi meter. If it is not putting out power then that you problem.
You need to good to the auto store and install leak dye into the system. Wait until it is dark outside and use a leak lamp. Ask the auto store person what you need. They will sell you something or check it for you.
You can jump the switch with a pair a alligator clips, You will have to remove to cover to do this. BEWARE THERE IS HIGH VOLTAGE IN THIS UNIT EVEN THOUGH UNPLUGGED. I AM NOT RESPONSIBLE FROM ANY ACCIDENTS TO PERSON OR PERSONS OR PROPERTY THAT MAY BE INCURRED. IF YOU DO NOT KNOW HOW TO DO THIS SEEK SOMEONE WHO IS FAMILIAR WITH ELECTRICITY.