Ok just for this thread I updated my profile and put a ton of cork stuff on there. I put a carved cork 3, a straight cork 3, an off axis 5, and cork 9.
Starting off with corked jumps I'd recommend trying to go straight. When you carve into a jump this will allow you to float or drift the cork. I think its harder to carve into a cork because the spin is set a little different than just a straight cork. For corked spins you will want to rotate your hips sideways/down while spinning. The more hip you use the more corked you will end up, or you will end up going into a d-spin. Hopefully this makes sense, i have a ton of other videos, so please let me know if you need different angles or tricks