AC - no. You will be able to cool it off pretty quick when you arrive.
Fridge - leave running. Set temp so freezer is still freezing and fridge in the low 40's. Absorption fridges take a long time to cool down from being off, so by the time it cools enough to be a fridge your weekend is half over.
I have put in frozen foods and cold foods then turned on the fridge and all was fine, but I was driving and not accessing the fridge either.
For one week absences leave on for sure, if 3 weeks or a month then turn it off.
Absorption fridges like to be left on, so they will be fine, where you will wear your AC out running it all the time.