The tree doesn't look too bad in the images provided. The new growth is somewhat limited, but it looks relatively healthy and should do fine if you can keep it properly watered through the summer. I wouldn't do much to it right now other than remove the dead twigs and trim twigs with dead tips back to live tissue.

If you plan to plant it in the ground, the best time would be this fall, but if you need to get it in the ground now you can do that, but make sure it is properly planted and watered through the summer. For information on proper planting techniques of trees see our fact sheet Tree Planting Guide or Planting Trees and Shrubs.

If you want good peaches to harvest next spring I encourage you to review our fruit tree fact sheets - https://extension.okstate.edu/search-results.html?q=peaches; peaches in general require a good pest management program to get quality fruit. For additional assistance you can also contact the Oklahoma County OSU Extension Center - https://extension.okstate.edu/county/oklahoma/.