Kenmore Refrigerator stopped dispensing water. My Kenmore Ref's water dispensing system stopped

Question

My Kenmore Ref's water dispensing system stopped dispensing water. The ice maker still works. Wmorehat seeme to cause the problem? Thanks.I have had my kenmore for at least 6 years and within the last 6 months the water dispensing has slowed down. It started with holding the glass longer and hearing a hum before the water dispensed. Then I would have to push the glass three or four times before the water worked. Now it dosen't work at all. Around the same time I noticed ice build up in the freezer compartment, I have to shut of the ice maker and wait for the ice in the bucket to go down. When it gets low I turn the maker back on until the bucket fills up again.