That song is good to learn for timing.
A fun one is is Toxicity by SOAD, Hexagram by deftones is fun and gets you to do odd cymbal hits and weird beats and I can't help you by last dinosaurs is pretty fun as well.
I by no means am the greatest drummer ever as well. I've played for a while, since i was 8, you should keep playing. You're not terrible by a long shot. Just practice rudiments and keep going.
One of the greatest things you can do to get better at an instrument is to join a band, or just jam with some friends. It's the best for helping you get timing down and keeps you motivated to practice.
In all, i recommend you work on rudiments and get a metronome to practice with. (Free ipod/iphone app works great)