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Being a new planting and lack of leaf out, it's a good chance your tree did not survive.
The article below has more information.
https://www.gardeningknowhow.com/ornamental/trees/crepe-myrtle/crepe-myrtle-not-leafing-out.htm

Most reputable growers will guarantee a tree purchase for the first year. You may want to contact the seller.

You are in Zone 6b. Here is an article that may help in your tree selection:
https://www.gardeningknowhow.com/garden-how-to/gardening-by-zone/zone-6/zone-6-flowering-trees.htm

This is possible a Leaf Spot disease.
Use the article below to continue to access your tree.

https://www.gardeningknowhow.com/ornamental/trees/crepe-myrtle/yellowing-crepe-myrtle-leaves.htm
http://www.aces.edu/pubs/docs/A/ANR-1047/ANR-1047.pdf

This will, usually, result in the death of one or both shrubs. I would not attempt this. A better option will be to graft two colored branches of crape myrtle onto a another of the species. This will allow you to have two different colors on the same tree without competition.

This collection of articles will help: https://www.gardeningknowhow.com/garden-how-to/propagation/grafting

Depending on how large this split is, you can try to make clean cuts with a sharp, clean knife, to expose the cambium layer which may already be scabbing over. Then press the split parts together and tie or wrap them so the remain in place. This may cause the split area to grow back together. Just don't tie or wrap it up with anything that can cause more damage, like wire. This article may help
http://www.gardeningknowhow.com/ornamental/trees/tgen/what-to-do-for-storm-damage-trees-repair.htm

Sounds like Spider Mites. Neem Oil is a good treatment.

https://www.gardeningknowhow.com/ornamental/trees/crepe-myrtle/crepe-myrtle-pest-control.htm