((5? I thought there were only 3. Sorry. And it fires less than 20 bullets a second.))
The sith looked brave in the face of certain death.
"Fine. Kill me, but know this: There are a lot more sith on this ship than you can handle, and more incoming. You will not get off alive."
Vader's wife was very pregnant when she died 19 years ago. All of a sudden a 19 year old who is very strong in the force and has a distinct resembalance to him in his younger days rolls in from Vader's home planet with his old Master Obi-Wan (Who was the ONLY other person preset at the time his wife died. And to boot, the kid's last name is Skywalker.
So in answer to your question, he knew Luke was his son because his name is Darth Vader, and not Darth Retard.
-Forum post on why Vader knew Luke was his son.