regard vs have to do with

regard is a noun but have to do with is not a noun.

Word	Noun	Adjective	Verb	Adverb
regard	Yes	No	Yes	No
have to do with	No	No	Yes	No

As verbs, have to do with is a hypernym of regard; that is, have to do with is a word with a broader meaning than regard:

Other hypernyms of regard include bear on, come to, concern, pertain, refer, relate, touch, touch on.

regard (noun)	have to do with (noun)
a long fixed look
(usually preceded by `in') a detail or point
paying particular notice (as to children or helpless people)
an attitude of admiration or esteem
(usually plural) a polite expression of desire for someone's welfare
a feeling of friendship and esteem
the condition of being honored (esteemed or respected or well regarded)

regard (verb)	have to do with (verb)
deem to be	be relevant to
look at attentively
connect closely and often incriminatingly