How do I fix a dishwasher leak and repair damage to surrounding cabinets?
If the dishwasher itself is leaking from a crack in the side of the tub, then it cannot be repaired and needs to be replaced. If it's just leaking from the door, then there's a door seal that can be replaced. You'll have to contact Whirlpool or an appliance repair guy for that -- appliance repair is something that we don't really cover around here because it's not really a DIY thing.

It sounds like the cabinets had a veneer that was then painted. You should be able to glue the veneer back down with some construction adhesive or epoxy. Unfortunately, many of the cabinets that Lowe's sells these days are made from particle board, and the cabinet itself might need some repair or shoring up before it can be used again. We can advise you more if you post some pictures.

I hope they didn't get any of their deposit back!