Well,I'll try to answer:
1) Glass is easier to mantain clean and disinfected whenever you'll need it,wood would retain more humidity(humidity+heat=mold )
2) Difficult to answer,maybe he/she's wandering searching for different temps and/or humidity...how are they?
3) ABF is maybe one of the frogs (if not the most) "handable" (when needed of course); just take care to get him by the back and not showing your hand in his front (or,worst,dangling your fingers...but I'm sure you won't be that silly )