old vs erstwhile

old is a noun but erstwhile is not a noun.

Word	Noun	Adjective	Verb	Adverb
old	Yes	Yes	No	No
erstwhile	No	Yes	No	Yes

As adjectives, old and erstwhile are synonyms defined as:

Other synonyms of old include former, one-time, onetime, quondam, sometime.

old (noun)	erstwhile (noun)
past times

old (adjective)	erstwhile (adjective)
of long duration; not new	belonging to some prior time
(used especially of persons) having lived for a relatively long time or attained a specific age
skilled through long experience
(used for emphasis) very familiar
excellent
just preceding something else in time or order
belonging to some prior time

old (adverb)	erstwhile (adverb)
	at a previous time