Correct sentences?

These are several sentences I read in a test-prep book, and I want to confirm these are correct:
1."Although Ernest Hemingway identified with traditional strongmen types, bullfighters, big game hunters, and deep-sea fishermen, he died alone, a suicide."
Is the ", a suicide." part acceptable?
2."It is better to reign in Hell than serve in Heaven."

or should it be, "than TO serve in Heaven."?