I'm not sure that the zipper foot will help. I have to move the needle position either left or right when using the zipper foot on my machine. I don't know if that's true of all machines.
My only suggestions - Double check with the manual to be sure that you have threaded the bobbin according to the directions for your machine, and follow manual's directions to pick up the bobbin thread before changing the needle position. If that doesn't work, call or email Singer or a Singer technician to ask if there is a quick fix for this problem.