Rocket Rons blowing off rim

Got a pair of new wired RRs 700 x 35c off eBay this morning. Fitted then to 19mm wide rims (SSCX bike) to replace a set of Maxxis 32mm tyres, and one of them has blown off a couple of times, exploding inner tube once.
Have replaced the tube with a new one (32-38mm) Continental, so no concerns there.

Had a bit of trouble fitting them, as they seemed rather loose. One still doesn't seem to seat very well.
Never had an issue like this before.

1. Are the tyres too wide for the rims?
   
2. Are the tyres damaged (stretched bead? They were folded rather tightly in the package) Tyre spec is 28/622 (definitely not 635 according to sidewall)
   
3. The tyres were a good deal - hoping not too good a deal. Never heard of fake/faulty bike tyres, but you never know (seller has very good feedback)
   
4. Will I die? So far not ridden, for obvious reasons