Does laser tag count as one of the games

Ummm... not sure about your question, they only have laser tag and 1 or 2 pool tables

I'm not sure what you mean by "count as one of the games," but they definitely have laser tag.

They only have laser tag other than a pool table and some arcade games

Yes, laser tag does count as one of the games if you are looking at the pricing on the internet, I'm pretty sure the table games are paid for separately and are mainly there to entertain you as you wait for the next round of laser tag.

$20.00 a person for 4 games a peice each lasting 20 minutes a peice.

Yes.