Drive only taking disc half way in.

unfortunately that's going to be an actual hardware issue. you will need to create a repair order for optical disc drive to get that fully resolved. you can do this at myservice.xbox.com or you can call phone support and they can set it up for you.

The circle ring around your disc usually happens if you move the xbox with the disc in the drive. The only way to fix this is to take it to a game store that repairs discs, they usally take a layer of the disc, but it doesn't always work.

Do you have friends nearby you can try to load the game disc on their consoles? Also, have you tried loading the game directly to the hard drive? This way you only need the disc in the drive to verify that the copy is yours. Finally, take the hard drive
out of your console and see if the game works that way.

The only ways to take care of your hard disc through your console are described in this support link:

support.xbox.com/.../hard-drive

Sometimes the disc needs to be formatted if there are corrupt data that impede its normal usage.

i had this issue many times. i called Microsoft and they told me to do a hard reset. If that didn't work i would have to send it in.

if you put in the disc and you don't hear the drive spinning the disc, eject the disk and stick the disc half way in. It will try to grab the disc from you but hold it for a second or two. You should hear the drive spinning. Let the disc go into the drive
and you should be able to play/watch the disc.

It's been working for me! hope it works for you!