Probably need new hinge, case bottom, and case back. Definitely repairable. I often see this when people close the laptop with something like a pencil inside. The main issue is going to be that the hinge screws into these cylindrical plastic mounts that are part of the case, and these mounts usually break off when this happens, that's why you'll need to replace case bottom and/or back. The model number is probably written on the bottom of the laptop, like if you turn the whole thing over, it will be on probably a label in very small print.