Hi,
I think the tube to the drain pan must be clogged because in at back of the fridge at the top I can see where the water drips from the freezer into the tube and the little collector or basin for the water to run into the tube is completely full of water at times. Most of the time the collector does not have any water in it but I have noticed it overflowing a couple times.

The fridge is a Beaumark model #34768-3

Pour a little water into the drain at the freezer and look and the end od the line and see if the water is running through it freely.

Water is going through the freezer fine, the clog in the drain tube must be between the fridge and the drain pan, do you know any way to clear this?

Thanks

Try blowing it out if you have one of those small compressors like you inflate ties with. Put the endof the hose in it and tape it off so you don't loose pressure.Ifnot you may have to just remove the drain line to clean it out. Maybe run a wire down it.