no you dont need all files to extract a rar archive. just tick "keep broken files" in the extract options.
my theorie is the following: as long as we have the eboot and the other 2 selfs, It could be possible to play the game.. like there are the mp_mapname1.pak and mp_mapname1.ff it should be possible to play just on "mapname1" (sry I dont know the map names lol)
these files are in my bo1 folder and I guess you need them (you dont need mapname_2.ff unless you actually load mapname2 in bo2

)
treyarch.ff, legal.ff, atvi.bik, code_post_gfx.ff, code_post_gfx_mp.ff, common.ff, common.pak, common_mp.ff, common_zombie.ff, common_zombie_patch.ff, outro.ff, outro.pak, patch.ff, patch_mp.ff, patch_ui.ff, patch_ui_mp.ff
might not work but worth a try, isnt it?

(at least for everyone who can't wait anymore )