This all depends on the country and location where you live.
Nope. Pellet guns are fairly safe to use.
No ... but their may be an age requirement.
Contact your local police
It is possible, Yes, But it depends on the caliber, Weight of the pellet, the FPS of the gun. I suggest using a Pellet rifle not a pellet gun. I suggest a head shot using hollow point pellets. Also a license may be required to hunt the goose
In most states you have to be 18 to purchase an air gun BB or Pellet, (Not a Air soft gun). It's best to check local ordnance's first. No license is required.
Yes, Here in Canada the law is 500 fps and under. I would check around to see yours.
It depends on the model and the caliber of the Pellet gun.
I think you mean pellet gun. That is a gun that fires a small lead pellet but does not use gun powder. It uses compressed air or compressed gasses to push the pellet.
This will depend on the license laws in your jurisdiction- which you did give. MOST states in the US do not treat pellet guns as firearms. NJ treats all pellet guns as firearms. Great Britain and some members of the EU set limits on energy of the gun. Depends on where you are. In the case of a true firearm, speed does not matter- they are all firearms.
A pellet gun is not adequate for protection, and will get you arrested.
It all depends on the model and who made the pellet gun. I suggest that you re-post the queston with the model and make of the pellet gun to get an answer.
Any pellet gun should be handled like a real firearm. Yes you can be killed with a pellet gun under the right circumstances.