seifullah, I cant tell you a lot about that squat because its an unweighted squat, and will look different with a load on the bar, but you need get your form down before you worry about more depth. Youre driving the hips up before the torso, resulting in a good morning type movement on the concentric portion of the lift. Think about driving your traps up into the bar the very first thing you do out of the hole, and dont go any lower than you can while maintaining your neutral spinal position. Once you have that down you can work on getting deeper while maintaining that position.
As for getting the glutes more involved, yes thats a good thing but not at the expense of form or safety. If you go to a depth of slightly below parallel, you can hit every muscle in the lower body very well, and there is no need to force any more depth at that point, if it is comfortable thats fine, but dont force it.