My Scooter cut out on me twice in 48 hours. Why?

First time I was doing 65 mph on a dual carriage way ( it's a de-restricted 50 cc Gilera Stalker/ SKP )

I thought this was becauase I was pushing it too hard...It re-started after about 5 min...then the next day on my way to my first day at my new job...2 miles into the 7 mile journey..it cut out when I was doing 30-35 mph..in the rain...

Now could this be two seperate reasons or like 1st time I was pushing the small engine too hard and 2nd time pos becasue it was raining...?

Or do you think I have one problem?

Any advice/hints would be greatly appreciated before I ride it any distance again...

Thanks

C