Paul Dickov opened the scoring with a 25th minute penalty after Craig Bellamy was brought down in the box but Michael Twiss levelled for the hosts just after the break.
Kuqi then put Rovers ahead 20 minutes from time before Jimmy Kelly levelled late on.
New signing Bellamy played for the first 45 minutes of the game at Christie Park.
Rovers 1st Half: Friedel, Taylor, Matteo, Todd, Nelsen, Tugay, Johnson, Flitcroft, Dickov, Gallagher, Bellamy
Rovers 2nd Half: Enckelman, Harkins, Mokoena, McEveley, Gray, Derbyshire, Reid, Douglas, Peter, Kuqi, Jansen