...Are there any tempo changes in Biab you will see them as red lines under the bar number.
The tempo changes are @ bar 33 and 65 from 129 to 125
At the bottom of the of the F5 Bar Setting dialog you can Rest all bars to remove tempo changes,
But seems you have recorded the vocals to that tempo map you can save one of the tracks to midi from Biab by dragging the guitar track with underscore to MID drop (the Drum RC was not working),
now open that in a new BandLab and it should import the tempo map from the midi file (Jim might tell you the best way, I think you can ctrl drag or alt drag in so it imports the map from the midi file?)
EDIT: If you go to File > Open > BB-midi-file-with-tempo-map.mid it will import the tempo map into new session, then View > Tempo you will see the changes.
Once you have the midi in with the tempo map drag your BB tracks in and the vocal track you saved from original session.
Now EZDrummer will be in sync.
EDIT: if you wanted it without the tempo changes just take the tempo changes out of Biab, drag those tracks into a new BandLab session, import the original vocal track and split the wav track at the old tempo change bars then slide it in sync to the music.