the answer is yes if relocate is different from re-locate. You can relocate (change the position of) yourself to another state, while you can re-locate (find again) something that you found earlier. If that's true, then you hyphenate when you find something again.
It is not hyphenated.
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
No, "hardworking" is not hyphenated.
Yes it should be hyphenated.
It can be. Some words can be seen both hyphenated and non-hyphenated.
No. Well above is not hyphenated.
The word desperate hyphenated
peace of mind is not hyphenated.
"Field" is not hyphenated.
Yes it should be hyphenated.