Are there more strict rules / laws for users of electric bikes ?
Legislation here restricts motor power to 250W, and the motor must cut out at a top speed of 25kmph, or when you stop peddling. Anything outside those criteria, including all the bikes with the small petrol engines attached, are classed as mechanically propelled vehicles and must be taxed and insured accordingly.
I have also noticed a few electric bike users in the bicycle lanes and doing significantly faster speeds than those being achieved by peddle powered bikes
The compliant pedal assist bikes are allowed in cycle lanes, any others are not.