You'll get 4 x $50k during first couple weeks, that is listed in weekly temporary income. Any other expense/income shown is payed/received for 1 time only (player/staff transfers, arena expansions, etc) and shows until next economy update.
Varies, depends on fan survey and ticket price.
Teamtraining(on top of the list) doesn't depend on trainer's level, so freethrows and stamina as a skill. Gameshape can be trained also, but its not a skill and can be managed through playing time quite easily.