Broke small pipe going to freezer compartment

If the ice buildup was by the pipe just going into the evaporator in the freezer compartment and the suction line going into the compressor is warm to the touch and not cold and/or sweating you are low on freon.

If the entire evaporator was buried in ice, the ice covering is also serving as an insulator and preventing internal temps from going down any further. There is a problem with the self defrosting mechanism which is designed to prevent the ice buildup. Could be either the defrost timer, defrost thermostat or the defrost heating element. Hope that it is just the heater element. If you have an electronic module for the rest you are in for unpleasant surprise to replace the unit. Proprietary parts mucho expensive plus labor.

Until you fix it, just let the unit manually defrost (U can use a hair dryer to speed it up) and turn it back on again. It will work fine till the ice builds back up. Keep opening and closing of freezer compartment to minimum to minimize moisture laden air that enters compartment.

Had exactly the same problem.
It was due to a blockage of the drain.
At the back of the freezer there is the pump and there is a small darin that lets condensation from inside the freezer spill onto the top of the (hot) pump to be evaporated. When this small drain blocks it causes issues like water leaking out of freezer and big chunks of ice at the back of the bottom compartment.
The fix is easy, if a little laborious.
Take all the stuff out of the freezer, then dismantle the internal plastic trip, don't worry, you can't really break anything and it goes back together easily, Eventually you will be left with just the bare metal insides and in the middle at the bottom back you will see the drain collection point, slightly hidden from view is the drain hole. Pour warm water onto this till it comes out onto the pump at the back.
Then use a pipe cleaner to clean.
Re-assemble - done :)

Has this thing a separate frezer and cooler compartment.
Have tried to completely defrost and clean that thing.
At times like in airco's the pinch valve for the cooling process to effect (expansion) is stuck frozen, or very seldom broke.

the drain pipe you cleaned out has a p-trap that holds water. after awhile this trap will build up sludge and possibly freeze up. i recomend defrosting the drain pan again and try some way to forcfully flush hot water thru the drain. I use a turkey baster filled with water to do this. if the drain continues to freeze you may need to install a heat trap to keep drain from freezing.
a heat trap is just a piece of 10-12 guage solid copper wire with about 3 inches in the drain and the other end wrapped around the defrost heater which is the BLACK rod attached to the bottom of the evaporator coil in the freezer compartment. if you need any further assistance just let me know Peyton

This may or may not be the fix, but I had a problem with my GE Profile TFX24PR sibe-by-side. Water was leaking from the ice maker water fill tube into the back of the freezer, onto the cooling coils. This would cause the freezer to go into extended defrost and the freezer and fridge would warm up. If you see ice inside the freezer, especially around the outside of the ice bin, or odd chunks of ice in the ice bin, turn off the ice maker and/or the source water supply and see if the problem clears up. If the ice buildup is especially heavy, you may need to remove your food, and unplug and manually defrost/thaw the freezer. You may want to remove the cooling coil cover, that is the back wall of the inside of the freezer. Mine had five screws holding a thin sheet of metal, three at the top and two near the bottom. Once this is off you can see the cooling coils. Be careful not to bump or scrape the coils. At this point I found about a quart of ice frozen on top of the coils in one big chunk, stuck to many wires. I carefully broke off what ice I could, and used a hair dryer to melt the rest.

If this is the problem, then you will need to replace the ice maker water fill tube. This is a time consuming job, you have to disassmble the fan compartment on the back wall of the freezer behind the ice maker to get to the fill tube connector. Once you get there it's easy to reach and it just pushes into the connector. In my case, I just reversed the ends and pushed it back in for a snug fit. You may want to consider using a sealer to prevent it from happening again any time soon.

The small drain pipe on the back of the fridge gets clogged, hence no drainage when defrosting, hence ice blocks the airflow between the freezer compartment and the fridge compartment.
Remove the rubber stop from the drain pipe and clean (can be found above the motor)
Defrost the fridge for a few days (it takes at least 48 hours). During this time, if you are not brave enough to remove the internal panels of the freezer and continually clean the water, check for water coming out and clean.
If during the defrost there is no water coming out the drain pipe, use about 2m of flexible and strong wire to clean the pipe.
The aim is to unblock the pipe once the ice has melted.

bottom of rezzer compartment is supposed to be frozen( depending on timeof cycle) i wouldnt point to a defrost problem unitil the ice build up is hindering refigeration, its quite possible that thte defrost drain has just frozen itself over, and needs to be cleared to allow defrost water to go into the drip pan under unit

machine has a defrost issue, defrost mi metal or defrost timer

First of all, is it ice or frost? If it is ice, I would say you have a leaky water valve to icemaker, running down evap. coils. Replace water valve. If you have frost-find out why it is not defrosting(defrost heater, defrost thermostat, or defrost timer.

You need to defrost the whole fridge and at the back in the freezer compartment you will c a small drainage hole.. look for it.. The get a piece of say hanger wire and clean this pour some hot water from a kettle down it and then start your fridge up again. that should sort your problem out ... if not then its either a sensor or a board fault...