I think Ive figured out the chords for "Our Song" or atleast the base of it, which 
is awesome in itself. 
The rythm isnt hard to figure out, just flow with the song. ;)

Chords:

F: x81010xx
F/E: x71010xx
F/D: 10x1010xx (or 101212xxx if you strum with emotion)
F/C: 8x1010xx (or 81010xxx if you strum with emotion)

Intro/Verse: F, F/E, F/D, F/C

Use this pattern throughout the song:

e---------------------------------------------------------------e
B---------------------------------------------------------------B
G-------10----10------10----10----------------------------------G
D-----10----10------10----10------------------------------------D
A----8-----7----------------------------------------------------A
E-----------------10-----8--------------------------------------E

Pre-Chorus: F/D, F/C x2 and hold on F/C until chorus.

e---------------------------------------------------------------e
B---------------------------------------------------------------B
G-------10----10----10----10----10----10----10----10---10---10--G
D-----10----10----10----10----10----10----10----10---10---10----D
A---------------------------------------------------------------A
E---10----10----8------8----10----10-----8-----8----8----8------E

Chorus: F, F/E, F/D, F/C 

e------------------------------------------------------e
B------------------------------------------------------B
G-------10----10----10----10----10----10----10----10---G
D-----10----10----10-----10----10----10----10----10----D
A-----8----8-----7------7------------------------------A
E---------------------------10----10-----8-----8-------E

"Oh oh, and this is our song" part: F, F/C

e------------------------------------------e
B------------------------------------------B
G--------10----10--------------------------G
D------10----10----------------------------D
A-----8-----8------------------------------A
E----------------8-------------------------E

Intro/Verse: again (same as above)

Pre-Chorus: again (same as above)

Chorus: again (same as above)

Bridge: (Not to sure about this one but I think it works.) F/E, F/D x2 (end on F/C)

e---------------------------------------------------------e
B---------------------------------------------------------B
G-------10----10----10----10----10----10-----10----10-----G
D-----10----10----10----10----10----10-----10----10-------D
A----7-----7-----------------7-----7----------------------A
E---------------10----10-----------------10----10-----8---E

Post-Bridge: Just play F until the chorus. 

Chorus: again (same as above)

Intro/Verse: End on F.

Hope you dont find this to confusing, and enjoy this great song!