OP,
I have had this same exact sh-t happen. Do keep the mssgs. but it will mostly like stop when perv is not getting any response what-so-ever!!! He will get bored, may take a few weeks, then he'll fixate on another female.
Also, since you have his name now, look up sex offenders website to see if he is a registered offeneder and a potential real threat! I use and it's free
http://www.familywatchdog.us
I totally recommend this for all women and anyone with children too. It gives pics, maps to their house, and type of offenses! I even get an e-mail when an offender moves in or out of my area. GL!
-ala