Is there ice in the tray of the icemaker itself?
You will have to remove the ice bucket first and this will give you access to the icemaker itself. It will be mounted by screws on the bottom of the icemaker OR on the back of the icemaker. You may have to remove some of the panels around it to reach the screws but, this is the easiest and cheapest thing to try before paying someone to come replace it. If you would like to take a picture of the icemaker with the ice bucket removed for me I may be able to help you more because I have no breakdown of your unit.