The rebound thing is crap.
The 2nd one is probably the one I agree most with.
The third one is bollocks.
You go through the process of taking the corner, and the ball goes in from a header or it bobbles round a bit, comes to the edge of the box, played out wide, cross comes in and goal scored. Does it get checked?!
Surely the sensible thing here is extend goal line technology so that cameras are trained down the whole touchline and almost instantly you can see who got the final touch. Don't let the corner be taken and then bring it back just because a goal might have been scored!