I've done apfelwein at temps in the low to mid 70s with no problem. It's prison hooch more or less, I wouldn't worry too much about the temp. 80 is probably pushing it though!
Fermentation produces significant heat, and yes it will raise the water bath temp. You'd have to ice down the water bath regularly to maintain that kind of temp. The thing that's important isn't the ambient temp around the beer (air, water) its the temp inside the fermenter, which will be higher.