Maybe just take it to a movie, dinners can be awkward at first, or the new thing is just to make a lunch date, this way if it doesn't work out, you've only lost an hour.
It was produced from 1950-1971, and I am not really thinking there were any significant changes.
What kind of parts do you need?
If for some reason you need to be more specific, I would go over to www.earlycj5.net
and ask those guys how to identify it, if anyone knows, it is the tech section over there.
Here is a link to the specs... http://magma.ca/~smaclennan/m38a1/fhead-specs.html