The solid ring means your phone is fully charged. Am I the only one that ever does that?!
As far as the rest of the problems, if a hard reset didn't fix it, your phone is probably screwed up. Unless there is some program you keep installing that might be causing it.
If you are within your 30 days, just return it to Best Buy. Bring your receipt and all your accessories. (Or most of them if you are good at sweet talking.
) And they should just switch em out for you with no problems.