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If the sucker growth has roots on it, then yes, you can replant it elsewhere. If you dig around the base of the sucker, check to see if it has its own root system. If it does, you can simply dig it out and cut it away from the parent plant. Then place it in a pot and give it plenty of water until you see new growth. Then it can be planted out in the ground.

If you do not see that it has its own root system, scrape a little bark away from below the soil line on the sucker and then cover the wound back up with soil. Check back every month or so until you see roots develop and then follow the instructions above.

You will want to help shape it as it grows, because most suckers want to grow more like a shrub than a tree. However, a little pruning will fix this.

I would probably wait for spring. When you dig them, up, make sure some of the roots come with the sucker. Keep them well watered and in the shade. When you see new leaf growth, they are ready to be transplanted into the ground. This process will not hurt the mother plant. Note: Depending on their size, you may want to pot the little trees up for at least a whole season before planting out in the yard. This way they will be able to form stronger roots.

While it's true that if you had no other choice, you could dig up a sapling at this time of year, replant it, and hope for the best, early spring is a much better time. Transplanting is stressful under the best of conditions, but adding the rigors of winter weather (unless you're in zone 8 or above) really reduces your chances of success. Here's an article to help you in deciding how you want to approach this project: https://www.gardeningknowhow.com/plant-problems/environmental/learn-how-to-avoid-and-repair-transplant-shock-in-plants.htm

Coral bark maples lose their bright coral color as they age. The older they are, the less pink the older bark looks. It should still be coral colored on new growth. Are you seeing any new growth? They are slow growing trees, but it is possible a nutrient deficiency is slowing its growth even further and you are not getting much fresh growth. If you do not fertilize it regularly, I would recommend that you give it some fertilizer. If you do not, then this is the issue. Please feel free to send pictures and we can take a closer look.

A blackening trunk may indicate a problem with your tree. I would recommend you consult an arborist in your area, to insure your trees health.

Your local county extension office may be able to help you locate a tree specialist.

Here is a link to help you find the closest office.

https://www.gardeningknowhow.com/extension-search/

Here is a link about Maple tree disease

https://www.gardeningknowhow.com/ornamental/trees/maple/maple-tree-bark-disease.htm

This actually looks like the handiwork of a type of tree borer. Fore more information on tree borers, visit the following link:

https://www.gardeningknowhow.com/ornamental/trees/tgen/tree-borer-insects.htm