I only have a minute, so this will be less than optimal, but I'll be back sometime.
If you want a core building + muscle building workout, then I would focus on squats, deadlifts, goodmornings and RDL. Of course, some direct ab work wouldn't hurt. Between all of these exercises you'll get much thicker and stronger in the core. You can then add in a few extra to his your other muscles if you wish.
Now, as far as developing surfing based endurance and muscles goes: SURF!
You don't train for a marathon by sprinting. You don't train for a wrestling match by boxing. You don't develop "surfing abilities" by lifting weights.
In other words, get sport specific, bro. If you want to be a good surfer, then surf. Sure, you can supplement your surfing with jogging and some kind of resistance training, but the jogging and training alone are going to do nothing to increase your ability to surf. Get what I"m saying?
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