-- Last Updated: Oct-12-12 11:17 AM EST --
You started off well. Nice purchase!
I'd echo what jay posted: wear your pfd. And learn a wet exit ASAP - if the water's cold and you have the right protection, you'll be fine - maybe splash some cold water on the back of your neck to minimize the shock.
After a wet exit I'd do what Hutchinson recommended and learn to be comfortable upside-down in your boat. wear a mask and noseplugs, use a snorkel with an extension if necessary - whatever it takes to gain that comfort. That will help you with rolls.
Next I'd learn a good forward stroke and commit it to memory.
Next I'd just get out and paddle often which sounds like it won't be a problem! Then you're on to either lessons or instruction regarding edging, low and high bracing, rolls, corrective strokes and so on. You'll need all of these to get out in unprotected water but if you have the desire you'll do it.
You sound just like me when I went from a rec kayak to sea kayaking, except you gave yourself a better start with gear.