ice maker problem

The ice maker in our freezer stopped separating the cubes and drops the sheets of formed cues into the tray whole which of course causes them to get all stacked up into one solid chunk. We have noticed a plastic coated wire that hangs down into the tray and a white platic "plug" sititing in the ice tray. We tried taping these pieces back into place to no avail. Any suggestions.? I am pretty handy and could probably replace the icemaker if that is feasible