have vs suffer

have is a noun but suffer is not a noun.

Word	Noun	Adjective	Verb	Adverb
have	Yes	No	Yes	No
suffer	No	No	Yes	No

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

Other hypernyms of have include hurt.

As verbs, have and suffer are synonyms defined as:

Other synonyms of have include get, sustain.

As verbs, suffer is a hyponym of have; that is, suffer is a word with a more specific, narrower meaning than have:

Other hyponyms of have include get, have, sustain, take, horripilate.

have (noun)	suffer (noun)
a person who possesses great material wealth

have (verb)	suffer (verb)
cause to be born	be in pain
suffer from; be ill with	undergo (as of injuries and illnesses)
undergo (as of injuries and illnesses)	feel unwell or uncomfortable
cause to move; cause to be in a certain position or condition	get worse in quality
undergo	be set at a disadvantage
cause to do; cause to act in a specified manner	put up with something or somebody unpleasant
serve oneself to, or consume regularly	experience (emotional) pain
have sex with; archaic use	feel physical pain
organize or be responsible for	undergo or be subjected to
go through (mental or physical states or experiences)	undergo or suffer
have or possess, either in a concrete or an abstract sense	be given to
achieve a point or goal
get something; come into possession of
have ownership or possession of
receive willingly something given or offered
have a personal or business relationship with someone
have as a feature
be confronted with