Replace the fuses in the fuse box. A blown fuse can cause a number of electrical problems and prevent the air conditioning from running.
Check that the connections between the roof and ceiling unit are tight. If they are not, push them in and ensure they are connected.
Check the voltage on the battery. The voltage should read 13.4. If it is not this high, the battery may need to be charged or replaced.
Clean the air conditioner and filters with canned air if the unit does not cool the RV down. The filters may also need to be replaced.
Use the ohmmeter to check that the on/off switch is getting power to it. Spin the motor shaft to see if it turns freely. If it doesn't, the unit needs to be replaced.