Broken Hinge

Hello.

Recently OhMy! helped me replace the hard drive in this laptop. Since, there's been a cracking sound when opening the lid. I imagined I messed something up when I screwed the back case on again when I was done. I took it apart today to take a look, and the place where the screws go in to attach the lid hinge to the bottom (I don't really know what all these parts are called, sorry) are all broken off, so the screws don't really go into anything and the hinge is just hanging loose on one side. When I put the cover back on, I noticed the screw for the case on the same corner will not screw in anymore either, so that one is broken as well.

It is a Lenovo Ideapad 3. I have pictures of the broken hinge attached.

Does anyone know of a way to fix this without replacing the whole computer or the whole bottom half of it? Is this an instance where glue or duck tape is a good idea?

Thanks.