The beginning throw to start the game or the throw after a team scores is call the "pull."
They throw it in.
On the centre spot
you do things like call throw in s and stuff
The goalie is the only person that can touch the ball during the soccer game unless it is a throw in then the defence can use their hands to throw it in. or the ref
Only on throw-ins or if you're a goalie.
you really never THROW the ball in soccer...
It should be lessthen five seconds at the most.
The referees have to control the game and players, and decide when the ball is a free kick, penalty, throw in and a corner.
If your local soccer league has modified the Laws of the Game for throw-in restarts, then this procedure should be followed consistently. What you describe is a very common modification for younger ages in many regions of the USA.
The ball is the responsibility of the referee.