Answer:
I'm many people's favorite place, even though many don't remember their stay. You'll love to come but hate to leave. If you get cold, use my sleeve. What am I?
Taken from a mine and then locked up in a wooden case. I am used by students everyday.
I live off of a busy street if you want you can stay for an hour or two but if you don't pay rent I'll tell on you.
I am a shimmering field that reaches far. Yet I have no tracks and am crossed without paths.
I am an object which is used in baseball during the day I can't be seen at all
The warmer I am the fresher I am.