Freezer continuously running, ice accumulating--have it set at #2,also freezor is leaking water. any idea what is going on?

Your refrigerator defrost on the average about every 8 hours so the water that accumulates during defrost has to go somewhere right? You have a defrost drain blockage.
We need to see if the water is overflowing the condensate drain tray or if the blockage is in the turn the drain leads down back of your refrigerator. Much more on this page=> Leaking Refrigerators! Not all blocke drains act the same when your refrigerator leaks so please ask should you have questions. Please provide the model number found around the fresh food section door frame. Kenmore model numbers look like this example=> 321.1234567 If you run into any problems along the way of repair please let me know, Thanks, Sea Breeze

You either have a defective water control valve that allows water to seep into ice maker while the water control valve is off or your defrost drain found behind the rear panel in the back of your freezer.has become clogged. Click Here=> Leaking Refrigerators Just What may Be Happening If the dual water control walve is causing this the only way to fix the problem is to replace the water control valve. Much more on this page=> Leaking Refrigerators! This is a common tip so I will be placing this post and add as we go new ideas listed in Sea Breeze Tips Section. If you run into any problems along the way of repair please let me know, Thanks, Sea Breeze

Are you sure it's the ice maker that's leaking? We have this model & ours accumulates a HUGE iceberg in the bottom of the freezer, but the water seems to be coming out of the back, at the bottom of the back panel, where the vents are.

Either the compressor has seized or refrigerant gas has all leaked away are the two most likely and expensive reasons!

check the water valve located at the back/lower portion of the unit,get check for continuity, if your tester deflected to the right coil is ok, next, check for possible clogging, sometimes trapped dirts accumulates in the valve filter, it restricts the water going to the icemaker module.check your tap sir or flojet pump, if you are using bottled water.,

your drain in the freezer is plugged or frozen ...remove the back panel and pour HOT water down the drain until it runs thru.... hope it helps

is the defrost drain blocked(ice on freezer floor)

Yes the drain is clogged and the water that supouse to go through became ice so it make it worse.Put hot water in the drain hole until it runs through,it'll go to an evaporative pan on top of the compresor to keep it warm and vaporize the water.

Your defrost drain line in the freezer is frozen closed.
You must turn off the fridge.
Remove the visible ice.
Use a hair dryer at the drain opening in the lower back of the freezer to melt the drain line ice.