Please capitalize where necessary: not really. nonsensical requests generally never make it through as far as our department.
A: Not really. Nonsensical requests generally never make it through as far as our department.

Please capitalize where necessary: the peripheral nervous system consists of the nerves outside of the central nervous system (brain and spine).
A: The peripheral nervous system consists of the nerves outside of the central nervous system (brain and spine).

Please capitalize where necessary: check rates and availability for tanzanite executive suites. then proceed to booking.
A: Check rates and availability for Tanzanite Executive Suites. Then proceed to booking.

Please capitalize where necessary: 15 students from the krabbesholm spring course are represented at charlottenborg spring exhibition. and the 15 students have chosen to show their works in kbh kunsthal.
A:
15 students from the Krabbesholm spring course are represented at Charlottenborg Spring Exhibition. And the 15 students have chosen to show their works in KBH Kunsthal.