unlucky vs doomed

unlucky is not a noun while doomed is a noun.

Word	Noun	Adjective	Verb	Adverb
unlucky	No	Yes	No	No
doomed	Yes	Yes	No	No

As adjectives, unlucky and doomed are synonyms defined as:

Other synonyms of unlucky include ill-fated, ill-omened, ill-starred.

unlucky (noun)	doomed (noun)
	people who are destined to die soon

unlucky (adjective)	doomed (adjective)
having or bringing misfortune	(usually followed by `to') determined by tragic fate
marked by or promising bad fortune	marked for certain death
	in danger of the eternal punishment of Hell
	marked by or promising bad fortune