Is it normal for a thick sheet of ice to form on bottom shelf, scraped away but comes almost right back.
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By bottom shelf do you mean the floor in the freezer?
If yes then odds are that the defrost drain tube is plugged so that the water from the defrost cycle cannot drain into the drain pan.
I would check that it is clear.
You will have to remove the evaporator coil cover to get at it. It should be directly below the evaporator.
If plugged a turkey baster with warm water, an air compressor with low pressure or a wire can often be used to clear it.
Also check that it is not plugged with dust etc. at the drain pan end.
You might as well clean the condenser/compressor fan and the condenser coils while you are down there.
If it looks like stuff is growing in the tube I would flush it with a 10% bleach solution. This should kill the stuff and let you flush it out. You may have to do this several times, let it sit for 15 minutes or so between flushes.
Be careful that the drip tray does not overflow and empty the drip tray after you are done.
Be sure to unplug the unit while doing this.