My ice maker would get one ice cube clogged and I would have to pull that one ice cube out and it would start working again. This last time I accidentally pushed the ice cube back into the maker and now it won't make any new ice. What do I need to do?

Look here: https://dl.dropbox.com/u/8010163/Whirlpool%20%20Icemaker%20Ice%20Dispenser.pdf
The icemaker is made by a company for almost all refrigerator makers. Try using warm water.