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I would suspect possibly chlorosis. This article will help: https://www.gardeningknowhow.com/ornamental/shrubs/holly/holly-yellow-leaves.htm Regardless, I would fertilize and also treat the plant with a fungicide, as these two things will help fix many of the other possible causes for the unhealthy plants.

This could be attributed to scorch, from unusually cold weather conditions, or transplant shock. Since there is already some signs of life (regrowth at the bottom), I would prune it back by 1/3 to rid the shrub of the dead growth, especially if you didn't do so when you transplanted them.

Fertilize your holly once a year (preferably in spring) with a balanced fertilizer. There is a fertilizer called Holly-Tone that is specifically made for holly and is very good.

There are a few things that can cause this. Holly scorch is the most common. This happens when the weather changes too quickly. The plant will recover from this on its own. Are you seeing any other symptoms? That will help us pinpoint it better.

What you have is likely not a holly at all, but one that is similar looking. The following article lists possible species. https://www.gardeningknowhow.com/ornamental/shrubs/holly/common-types-of-holly.htm

It is hard to say what is happening to them without knowing what kind of symptoms you are seeing. Please let us know how the plant is dying back, what the leaves look like as they die back and if you have noticed anything else unusual about the plant.