Hi Bernard,

Pruning tar is no longer recommended for damage like this. Trees will heal themselves if damage isn’t too great.

If bark on the most badly damaged tree is stripped all the way around the trunk it eventually will die. If you leave it alone it may flower and even leaf out next year, but will later die.

The other tree with scraping on one side of the trunk should recover.

Here’s the U of M advice on deer:

“Deer feed on terminal and side branches of small trees and shrubs. They may rub their antlers and foreheads on tree trunks in late summer and early fall to remove the velvet covering from their new antlers (called deer rub). This can damage tree bark going into winter months.

The Minnesota Department of Natural Resources considers deer a protected game species. Therefore, the best strategy is to remove habitat options and erect physical barriers.

If deer are starving, there is little that will prevent them from feeding on your plants as hunger will overcome a bad taste or fear.

Physical barriers and repellents

• Manage deer by excluding them with fencing.
• Fences should be 8 feet high and well-constructed to prevent deer from breaking down the fencing or jumping over it.
• When motivated and provided enough space to get a running start, deer can clear fences as high as 12 feet.
• Electric fencing such as that used for cattle may also provide some protection from deer.
• Various repellents exist on the market in liquid, granular or powder forms. Most need reapplication after rain or irrigation.
• How to manage deer damage on trees and other plants.
• Protecting plants from deer.”
• 
  More information on deer damage:
• 
  https://extension.umn.edu/planting-and-growing-guides/white-tailed-deer-damage 

Trees this young should be protected in fall and winter. Here’s a page about that:

https://extension.umn.edu/yard-and-garden-news/winter-protection-plants

Hope this helps. Good luck.