First - I would encourage you to go back and check some of the previous conversation posts you have submitted - as I have answered your Basketball question on two previous occassions.
But just in case there is a technical issue - here are the answers to your questions:
1. No Basketball. I was on her about 1 month after last year's refurbishment - and there was not basketball option. Plenty of shuffleboard
2. The bungee tramboline is free - however we found that on our trip it was only open during certain hours of the day (based sometimes on weather conditions). The best time to do it is during a port of call if you stay behind - as there are very few people on board.