Kenmore Ice Maker Not Making Ice?

The icemaker on my Kenmore side by side refrigerator stopped making ice. I have already replaced the water filter once in February when it stopped making ice the first time and that fixed the issue. It is now June and it has stopped making ice again and I went out and purchased another filter, replaced it, and it did not fix the issue this time.

What could possibly be the issue? It went from being over full a week ago to not making ice. How do I fix the issue myself without it costing an arm and a leg because it's not my refrigerator, it belongs to the owners of the house and the landlord isn't required to fix it because the ice maker is a luxury not a necessity.