Jared,
I don't know if I can add much more than Dave's (as usual) eloquent post has. I'll try, though ...
I've been playing for 31 years and counting. Started when I was 15. I grew up playing Yes, Rush, Genesis, Frank Zappa, etc. In those days I was pretty much a by-ear guy. We didn't have CD players, so basically I'd sit in the basement and replay things on a record player at 33 1/3 RPM. I tended to do this until I could play things note for note. Today, my fellow musicians tend to be surprised when I can pick tunes up very quickly. I attribute it to this training regimen.
As for Roundabout, I used the same technique, and can play it pretty much note for note. You might want to give it a shot in addition to the other pointers here.
To add to Dave's post, I'd say this - there will always be someone better than you technically (for example, Dave is a much better player than me - thanks Dave! ;-)). They'll be able to tap, slap, pop, fingerstyle, pick style, out harmonic you. And that's OK. It's not so much what you can do, but when you do it. I always get a kick out of these guys who can tap and slap like mad, yet cannot play a line in the pocket if their life depended on it. Impressive, yes, useful in most situations? IME no. Like Dave said, it's all about heart.
Practice. Don't quit. Enjoy laying down the bottom. It will provide you a lifetime of enjoyment, I guarantee you.
Alan