(1) His Military Service is done in the Army Forces on 1st March 2008.
(2) His Military Service was done in the Army Forces on 1st March 2008
and is it possible to say:
(3) His Military Service has been done in the Army Forces on 1st March 2008.
Please remember to try to title your threads with words or phrases that describe the grammatical topic explored in the thread. Here a fitting title would have been "is/was/has been done."
Assuming the time of speech is now (in August of 2019), the only sentence of the three that works is (2). Logically enough, because we are talking about something in the past, we use the past tense.
If the time of speech were before March of 2008, then (1) would be correct and (2) would be incorrect. Sentence (1) would then mean that his military service will be done (i.e., finished) on March 1, 2008.
Sentence (3) is incorrect because we do not use the present perfect with specific past time adverbials. It is ungrammatical to do so. The prepositional phrase "on 1st March 2008" is a specific past-time adverbial.