Cold water will only trickle into washing machine

Our machine is about 14 years old. In the last few months, the cold water is only trickling into the machine. The hot water runs just fine. A few weeks ago, my husband took out the tiny thimble looking filter baskets, as they were caked with stuff. The water flowed great for about three days, and now it is back to a trickle. Any ideas of what this could be? Or is it just time to get a new one? It is also stopping during the wash cycle every few loads right before the drain/rinse cycle should start.

Thanks for your help!