Is it a goal if there is a shot and it deflects off the defenders hand and into the goal?

Answer 1

Yes. The referee will award the goal.

If the referee believes it was done deliberately the defender would be cautioned for unsporting behavior. A send off would not be warranted in this case because no goal-scoring opportunity was denied.

Answer 2

If the ball hits a defender's hand and goes into the goal then a goal is awarded.

If, in the opinion of the referee, it was done deliberately then the defender would be cautioned. A send off would not be warranted because a goal scoring opportunity was not denied.

Answer 3

Yes..... I did it once from a goal kick and it was allowed.....

There is nothing in the Laws of Association Football that prevents a goalkeeper from scoring a goal against his opponents. Likewise, if he were to score direct from a goal kick, that is perfectly reasonable.

Answer 4

If the ball completely exits the field across the goal line, between the goal posts, and under the cross bar then a goal is awarded. This is true even if it comes back onto the field.