I had a problem something like that on my Dometic AC doing all kinds of on an d off cycles. It only did this when I had the thermostat an setting on low speed. (sometimes I like low because its quiet) Dealer said when you put in on cooling it has to be on "auto". Also when on auto and it reaches close to set temp. he fan speed changes, like this, the fan stops, the compressor keeps running for a short moment (I can hear it hum) then the fan comes back on at a lower speed. I thought there was something wrong with it stoping and starting, but after running it a lot with fan on auto I seams fine. The service tec. said they got a memo to tell customers this from Dometic. It doesn't sound right to me but you can't argue with success. I hope this can help Rob
ROBERT L MC INTYRE