The Antlers - On The Roof tab

I chose to tab this song in open D because the A notes ring out as if they're being 
played on open strings. Either way, this is as far as I got:

D | ---------------------------------|---------------------------------|A | ----5----5----4^----0-------0----|----5----5----4^----0-------0----|F#| -----------------------(0)-------|---------------------------------|D | ----4----2----2---------4--------|----4---------2--------2/4-------|A | ----------------------------4----|----------------------------4----|D | ---------------------------------|---------------------------------|
D | ---------------------------------|---------------------------------|A | ----5----5----4^----0------------|--4/5----5----4^----0-------0----|F#| ---------------------------------|---------------------------------|D | ----4----2----2--------2/4--2/4--|----4----2----2--------2/4-------|A | ---------------------------------|----------------------------4----|D | ---------------------------------|---------------------------------|
D | ---------------------------------|---------------------------------|A | ----5----5----4^------------0----|----5----4----2----2----4--------|F#| ---------------------------------|---------------------------------|D | ----4----2----2--------2/4-------|----4----2----2----2----2--------|A | ----------------------------4----|---------------------------------|D | ---------------------------------|---------------------------------|
D | ---------------------------------|---------------------------------|A | ----5----5----4^----0-------0----|----5----5----4^----0-------0----|F#| -----------------------(0)-------|---------------------------------|D | ----4----2----2---------4--------|----4----2----2--------2/4-------|A | ----------------------------4----|----------------------------4----|D | ---------------------------------|---------------------------------|
D | ---------------------------------|---------------------------------|A | ----5----5----4^----0------------|--4/5----5----4^----0-------0----|F#| ---------------------------------|-----------------------(0)-------|D | ----4----2----2--------2/4--2/4--|--2/4----2----2---------4--------|A | ---------------------------------|----------------------------4----|D | ---------------------------------|---------------------------------|
D | ---------------------------------|---------------------------------|A | ----5----5----4^------------0----|----5----4----2----2----4--------|F#| ---------------------------------|---------------------------------|D | ----4----2----2--------2/4-------|----4----2----2----2----2--------|A | ----------------------------4----|---------------------------------|D | ---------------------------------|---------------------------------|
From this point on, Silberman wails on some chords that I can't quite figure out, though he occasionally throws in some parts from the intro. Good luck!
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