For inshore gamefish like slot reds, trout to 30 inches, and anything in that category, I prefer the number 2's and 3's. (Not the 2/0 3/0) those are too big.
The 4's are ok for trout, and I've done fine with 4's on smaller redfish, but the 27"+ reds can read havoc on tremble hooks... I like the VMC 3's if you find them (not available everywhere). The 2's are good as well.
The fatboy is a no. 4. and the hooks on it should be fine (the are VMC hooks), but if you replace them it will adjust the sink rate (that is ok to do, you just need to know that you are doing it.). Smaller thinner wire hooks will also make the hooks lighter and it will ride higher / sink slower. Bigger hooks make it sink more.
The saltwater spook junior also comes with tinned hooks, no. 4's) and it should be fine in salt with no change.