Welcome (or welcome back) to the world of Nintendo, 4LC4PON3. =)
Zelda games are almost never direct sequels, prequels, etc. so you're perfectly safe in buying Skyward Sword even though you've never played any other Zelda games. You won't be missing any key story elements or anything. If you don't want to gamble on a full-price Zelda game just yet, you could certainly grab a used copy of The Legend of Zelda: Twilight Princess for quite a bit cheaper since it's five years old. It's worth whatever cheaper price it's at right now, without a doubt.
From my personal recommendations, I'd have to bring up Red Steel 2. Some reviewers say the first Red Steel was a tragedy of a game or just not that good in general, but Red Steel 2 received some fantastic reception; I personally loved the game. It's one of the greater Wii games that make use of the motion controls for an action-filled game that focuses on combat about dual wielding a sword and gun simultaneously. Smooth controls, really fun, and probably somewhat cheap like Twilight Princess since I think it was released around '08. It's the kind of Wii game where you can't sit down and lazily swing the Wii remote though, so if you are looking to mix up your gaming experience, I'd say Red Steel 2 would be a great buy for ya.
You into fighting games at all?
I'd help you with your component cable question, but I don't know anything 'bout that stuff... Sorry. Someone else should certainly give you a good answer though.