RE: Hovering the AXE
Mine does the same thing. I've stated before that according to Radds School, it will initially go to the left because the tail is pushing to the right forcing the heli to the left. You must hover just slightly leaning to the right. If you dare, lift the left training balls barely off the floor while leaving the right side training balls on the ground using the cyclic.
Carefull with the carpet. If the heli can't slide, it could catch and roll over. This is why Radd's recommends a smooth surface with no tape for the square. Instead draw it with something.
The heli was flown at the factory and the trims were supposed to be set for you. Even if you changed them, you should move the cyclic stick to hold it from going to the left. You will find you will be constantly moving the cyclic to keep it over your square.
Hang in there, you'll get it.