yes!
No. It doesn't matter where the goalkeeper is.The ballmust be in the penalty area (on the line is inside) for the keeper to touch it.
it is not a handball as long as the ball is inside the penalty box.
Handling outside of the area or box, is when a goalkeeper picks up or touches the ball with a hand or arm intentionally, outside of the designated area, otherwise known as the penalty box. Out of the area, probably just means when a keeper leaves that area.
No. When determining whether a goalkeeper may touch a ball with his hands, only the position of the ball matters. If the ball had not crossed (or touched the plane above) the boundary of the goalkeeper's own penalty area, it would be considered deliberate handling, The restart would be a direct free kick at the location of the handling. The goalkeeper might be cautioned if the act prevented the development of a promising goal scoring opportunity in the opinion of the referee. The goalkeeper might be sent off if the ball would have entered the net if not for the handling (and without being touched again by any player) in the referee's opinion.
The penalty area.
Handle the ball in the goal area only
Yes. The goalkeeper may leave the penalty area at any time during play, but cannot touch the ball with his hands while outside of the area.
It is not against any rule of soccer if a goalkeeper leaves the penalty area. He has the same rights and privileges on the field of play as any other player, except that he gets the added privilege of handling the ball within his own penalty area. It is only against a rule if the goalkeeper is handling the ball with any part of his hand, arm, or shoulder when leaving the penalty area; it will be a handling foul, direct free kick to opposing team from just outside the penalty area where the GK carried the ball, and possibly a caution (yellow card) if the referee believes the act was unsporting conduct.
Yes. A goalkeeper can dribble the ball back into the penalty area and pick it up. However, this is not the case if the ball was passed to him by a teammate (back pass), or if he has (for example) thrown the ball outside of the penalty area only to dribble it back in (double touch), or in any other case specifically disallowed by the laws.
In short, no. A goal kick is not complete (the ball in not yet in play) until the whole of the ball crosses the whole of the penalty area line and into the field of play. If the goalkeeper touches the ball before it completely leaves the penalty area, the goal kick must be retaken. If the goalkeeper touches the ball with his hands after the ball has left the penalty area and become "in-play", then he is guilty of a handling infraction because the ball is not within the keeper's own penalty area anymore. Either the ball is still in the penalty area or it isn't; it can't be both. This is all without even considering the fact that a goalkeeper cannot handle a ball that has been intentionally kicked to him by a teammate, the so-called "pass-back" rule.
No, they may also kick it, though they often use hands as it grants them better control