Nice and simple is there any WIFI available in the Paddock .

Yes KF, they give you the password in the Race Office.
Only downside was last year was that you only got reception (if that's the word), when you were about 60 yards from the Main Grandstand. But better than no WIFI.

I use one of these Wi-Fi booster antenna into my laptop on my camper. There are some different styles available.
http://tinyurl.com/qxrse3v
Not see anything like it that plugs into a mobile though.