Hmm, one thing about Weezer is that they use a lot of "wall-of-guitar" sounds in their recordings. Are you going for Blue-style or Pinkerton-style?
Basically what you want to do is record as many guitar tracks as possible. Do the same rhythm guitar part TWICE, one panned hard left and the other panned hard right.
Then, when you do lead parts, octave-double them all, except for guitar-solo sections. That means recording one track with the normal lead part, then another track (panned differently, preferably) an octave higher, but as similar as possible. Also, there should be one guitar track right in the middle that's just two-string power chords and completely rhythm.
I hope that helps. The point is, the more guitars you have, the more In-Your-Face, the more powerful, and the more Weezer-like it will sound.
Oh yes, and CRANK your amp, and have your gain at full, and when you play, face the amp. That way you get that really massive feedback that Rivers and Brian get. You may want to record a few seperate feedback tracks. Listen to the intro of Tired Of Sex - on the "why can't I be making love come true", there are 3 or 4 guitars screeching feedback. My guess is those feedback tracks were recorded seperatly.
Use feedback wisely, and only where you want to build it up, giving the listener a feeling of anticipation, and you will have an excellent guitar sound.