My icemaker has stopped ejecting the frozen cubes. If I press the button under the front of the device it does go through the eject cycle and fill again normally but then when the cubes are frozen it will not complete the cycle by ejecting the cubes.

Refrigerator Leaking From Icemaker
If it's leaking from inside the freezer then it's coming from the icemaker or the drain. Lets start with the icemaker. If it's the icemaker there will likely be an ice hanging from the icemaker or just a big block of ice in the ice bin. In any case, it will be obvious.
There are a few reasons this will happen: one is the icemaker will stop turning when it gets to the fill cycle. This will happen when the gears in the icemaker break. On GE icemakers that were made before the year 2000, you can see the gears by taking off the cover on the front of the icemaker. However, if the small gear is broke you can't buy it as far as I know. I have been taking them off of junk icemakers for years. So this part may be hard to find. But if the big gear is broke replace it. Another reason icemakers leak is the fill tube is stopped up and I already discussed this earlier (replace water valve and clean out tube).
Another reason icemakers leak is that the water comes in too fast so it over fills the first cube mold. When this happens you will get a few drops of water when it fills. To fix this you have to take the icemaker out and remove the piece on the side of the icemaker. I don't know the name of it so for this we'll call it cube separator because that's what it does (most of them just snap off others have a screws). Now take silicone (RTV) and put a small amount around the first cube mold only under the cube separator. Now reinstall the cube separator and wipe off excess silicone and it shouldn't leak anymore.
Another reason that icemakers leak is that the refrigerator water valve sticks after the icemaker goes out of the fill cycle. When this happens the valve stays on and the icemaker keeps on turning, in which case, replace the refrigerator water valve.
http://www.appliancerepair.net/refrigerator-repair-1.html

check for water flow at water valve or replace water valve

Hi and welcome to Fixya.

Remove the front cover after the ice tray has dumped cubes and remove all of the water from your ice maker tray.

Then depress the test button on the bottom of the icemaker (in front on bottom) located about 1 inch from the lower rh corner.

The icemaker fill cycle should add just enough water to cover barely cover the tray. (see page 32 of the 25 Sept 2005 user's manual)

If it is overfilling the icemaker fill time / water level needs to be reduced on the ice maker module. A normal fill cycle is about 7.5 seconds.

Another thing that will cause larger cubes is high water supply (utility co) pressure.

A temporary fix would be to slowly close the refridgerator water supply line's shut off vavle so that the water flow restricts.

The real solution is to investigate ice maker fill time, and the function of the icemaker water supply solenoid vavle for possible Delayed closing of the internal diaphram.

I usually replace icemakers as a unit. It sounds like the mold heater is out. The system cycles like this: Fill, freeze, mold heat, eject, and start over. The mold heater not working will prevent ejection.

Hi: First off make sure the fridge is level. Is It too high in front? Making the rear of the icemaker overflow and jam? Also make sure the freezer section is a zero degrees, not just frozen. Ice cream should be rock hard. I hope this helps you avoid calling service. Thank You, Jeff

The mold heater is bad on this unit.

Had the same problem. This allows 12 seconds for the tray to fill. If your water filter is the least bit dirty or the water supply line is clogged a bit, you will get an incomplete fill and the cubes will be hollow, mishapen, or, in my case, all won't eject properly. Replace your filter. If that doesn't do it then use a shop vac with any kind of modification to it that will fit into the supply line and **** out the blockages. Hope this helps.

Sounds like the icemaker thermostat is opening too soon which turns the heater off.  The easiest thing to do is replace the whole ice maker which I have seen pretty cheap on ebay.  If you want you can test these part with an ohm meter.  Check the heater for resistance.  If it is ok then replace the module and thermostat.

It could be one of two things. The fill cycle could be too long causing the water to overflow or the icemaker may not be ejecting all the cubes out of the tray. A normal fill cycle is very short. Maybe 6 seconds long. So I would check and see how long the fill cycle is and when it stops check and see how much the tray is filled with water. I would also check and make sure that all the ice cubes are ejecting next time you hear it harvest.

sounds more like the heater in the ice maker is bad. The cycles of the ice maker are: 1. water comes in to fill ice maker. 2. water freezes in ice maker making. 3. heater comes on to help ice release. 4. motor comes on to eject the ice and start all over again. if the heater doesn't come on the ice will not eject. replacing the icemaker is typically what needs to be done in this case.