A slight leak is never normal and indicates a problem with the reg.
What normally happens is the seat in the second stage develops a seating groove that then causes air to leak past the seat. This is a normal effect that the tech needs to anticipate, but sometimes in an effort to adjust the reg for minimum inhaltion effort, the tech gets it wrong and does not adjust the orifice in far enough and/or compress the spring in the second stage enough depending on the design.
If the hiss starts immediately on pressurizing the reg, this is most likely the problem. If the hiss starts several seconds to a coupel minutes after the reg is pressurized, it is probably a leaking HP seat in the first stage.
The vibration is normal, it's just the diaphragm vibrating due to a lack of dampening effect from the water. It's common after servicing and will either persist until the diaphragm adjusts to it's current stresses or until the next service.