No it is not, I see it both ways, pre-med or pre-medical and premed or premedical.
Yes, it should always be hyphenated.
no never
Hyphens are almost always aesthetic. They aren't really necessary, they just help the reader understand that the the hyphenated words are tied together.
Yes. Always. Reference: Chicago Manual of Style
Yes, Rutgers University is good for premed. To get into Rutgers, one will need to apply at the admissions office.
The term is almost always hyphenated all-star.
Yes, re-enter should always be hyphenated.
It is not hyphenated.
You would need to major in premed.
No it's not hyphenated.
Motorcycle is not hyphenated
words are only hyphenated when they have a separate meaning when separated than they do when hyphenated