offensive activity vs doings

offensive activity and doings both are nouns.

Word	Noun	Adjective	Verb	Adverb
offensive activity	Yes	No	No	No
doings	Yes	No	No	No

As nouns, doings is a hypernym of offensive activity; that is, doings is a word with a broader meaning than offensive activity:

offensive activity: a lack of politeness; a failure to show regard for others; wounding the feelings of others
doings: manner of acting or controlling yourself

Other hypernyms of offensive activity include behavior, behaviour, conduct.

offensive activity (noun)	doings (noun)
a lack of politeness; a failure to show regard for others; wounding the feelings of others	manner of acting or controlling yourself