employment vs service

employment and service both are nouns.

Word	Noun	Adjective	Verb	Adverb
employment	Yes	No	No	No
service	Yes	No	Yes	No

As nouns, service is a hyponym of employment; that is, service is a word with a more specific, narrower meaning than employment:

employment (noun)	service (noun)
the occupation for which you are paid	an act of help or assistance; something (such as a tool, software or system) used to render said help or assistance
the act of using	the act of public worship following prescribed rules
the act of giving someone a job	(sports) a stroke that puts the ball in play
the state of being employed or having a job	the act of mating by male animals
	the act of delivering a writ or summons upon someone
	periodic maintenance on a car or machine
	the performance of duties by a waiter or servant
	employment in or work for another
	work done by one person or group that benefits another
	(law) the acts performed by an English feudal tenant for the benefit of his lord which formed the consideration for the property granted to him
	tableware consisting of a complete set of articles (silver or dishware) for use at table
	a means of serving
	a force that is a branch of the armed forces
	a company or agency that performs a public service; subject to government regulation