My advice will probably be counter to most people, but I would say go work someplace else first. There are thousands of little nuances to building a successful company, and it can be helpful to learn by observing, instead of learn by making your own mistakes in those cases.
You also phrased this like an "OR" question, when it could be an "AND"... Why not go to work AND starting iterating on your idea in the background?
$5K, no business plan and lots of enthusiasm is not good odds, IMO. I would wait until you are more passionate about a specific idea (and a little more experienced).
Good luck either way.