doomed vs unlucky

doomed is a noun but unlucky is not a noun.

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

As adjectives, doomed and unlucky are synonyms defined as:

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

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

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