Got A New Camera- DSLR Canon T5 Rebel

Are you tethered to your computer?

Very nice. Usingh a modern DSLR with 5X or 10X tethered live view, you can pretty much do anything in coin photography. Of course, you'll need some type of copy stand or microscope stand and computer connection.

After you have a valid coin imaging setup with a good macro or enlarger lens, I think lighting technique becomes the biggest factor in coin image quality.

You're obviously a lot steadier than I am! Good job.

Are the pictures taken through plastic or of naked coins?

Not too bad for doing shooting photos with just a steady hand. I do recommend getting some sort of tripod or mount for your camera. That will allow you to avoid and shake/movement when taking the photo. Also, remote shooting is a wonderful feature. You can adjust all settings through your computer without even touching the camera.

Once you get a good setup, lighting will be your next challenge. This will involve quite a bit of trial and error until you get desired results. Your walking liberty photo looks nice, but it's a bit dark. Having the proper lighting on that coin will make it pop. The Buffalo nickel also looks nice, but I can see where you were holding your camera in-hand resulted in the reverse being larger and much blurrier than the obverse. Once again, if you get the camera mounted, you won't have much a problem with that. Same thoughts on the silver eagle as the Buffalo nickel. You have the basics down already, it's just a matter of bringing everything together.