No. You don't need a hyphen in a two-word unit modifier when the first element is an adverb that ends with "-ly."
Yes, it should be hyphenated.
Yes it should be hyphenated.
Yes it should be hyphenated.
yes check-up should be hyphenated
It should be hyphenated.
Yes it should be hyphenated.
"Field" is not hyphenated.
Yes it should be hyphenated.
Yes it should be hyphenated.
No it shouldn't be hyphenated.
Self-made should be hyphenated.
No it shouldn't be hyphenated. It is one word.