How on earth do they think you need to pay for them to eat out?
Funny, I think that's the only reasonable claim they have, can't eat their food they brought as there was no power, it doesn't stop their ability to sleep in their beds, if they need a/c well too bad they can pay for the motel, because if the a/c breaks down in 3 weeks time at night time then tough luck.
They certainly didn't need to take a day off of work, its summer, probably have a cold shower anyway, and its irrelevant, they stayed in a motel, good nights sleep and a warm shower and an alarm clock in the room too.
But like the others, if I had the time/energy to fight them, I would, retract offer of free rent, get the things that need fixing fixed, tell them to get stuffed on everything else.
If they told you on monday, and you fixed it on monday, then you did all that can be expected of you, **** happens, as another poster said earlier, they seem to be confusing renting a house with staying at a resort.