Please capitalize where necessary: on the other hand, the lives of american professors dr bill fredman, head of department, and dr john graham and his black girlfriend, carol, vary greatly.
A: On the other hand, the lives of American professors Dr Bill Fredman, head of department, and Dr John Graham and his black girlfriend, Carol, vary greatly.
Q: the emperor riding into the hall

A: The Emperor riding into the hall
Q: nationally she became wider known for her performance at the crown prince couple's awards last year and from an appearance in dancing with the stars.
A: Nationally she became wider known for her performance at The Crown Prince Couple's Awards last year and from an appearance in Dancing with the Stars.
Problem: if you use gmail, you may see a warning across the top of your screen if you’re looking at an email our system says might be a scam – if you see this warning, think twice before responding to that email.
Can you repeat this sentence, but capitalize it?
Answer: If you use Gmail, you may see a warning across the top of your screen if you’re looking at an email our system says might be a scam – if you see this warning, think twice before responding to that email.
Text: super realistic paintings of greenlandic icebergs

Correct capitalization: Super realistic paintings of greenlandic icebergs
Text: enjoy the comfort of our comfortable rooms and the pleasant ambience of the hotel's various facilities.

Correct capitalization:
Enjoy the comfort of our comfortable rooms and the pleasant ambience of the hotel's various facilities.