You would capitalize it only if you are referring to a specific community college.
No.
When using it as a name please capitalize it.
The Library of Congress holds many collections.We visited The Library of Congress.
If you're speaking of a specific college. If you were to say "Your mom goes to college" then it would be lower case. Whereas if you're saying "Your mom goes to Trillium College" then you would capitalize it.
no
No you shouldn't.
Phoenix College should be capitalized but not student.
"Nope." Improved answer: Normally, no. The library should be written as I have just done, without capitalization. However, if you are talking about a specific library and using its title, such as "The Central Public Library of Nowheresville," you should capitalize the word library within the title. On rare occasions, it is okay to capitalize "The Library" if you are talking about "the" library in the U.S. - the Library of Congress. But even that is not generally accepted.
Yes, you do. Since it is a proper name, it requires capitalization: Greenfield Public Library.
No, because it is not a proper nou n.
Oberlin College Library was created in 1908.