The word "semester" is generally not capitalized unless it is part of a specific title or name, such as "Fall Semester" or "Spring Semester." When referring to a semester in a general sense, such as "I will take that course next semester," it should be written in lowercase. Always check specific style guides, as conventions may vary slightly.
no
No.
It's jaywalker, and no.
No
Help
yes
No.
what capitilize it please
YES
It is not necessary to do so.
yes
No. It is not a proper nou n.