Some of the later Cavalier ID tags have an spot that while not explicitly named "Date", the numbers on the tag suggest a month and a year, like this
5
81
[M]M
YY
Note that is a considerably later machine, so your ID tag may not have such a place on it. There may be a silver label on inside/back of the coin door. Those sometimes have the date stamped into them. Check for that label as well.
Here's a page for Cavalier serial numbers, but I don't think it mentions punch buttons. I will include it nonetheless, though I cannot vouch for its accuracy.
http://www.grandamericajukebox.com/page13.htm