I noticed that screws connecting the metal part of the pedal are loose (I don't know the proper name for the metal part). I would like to screw them in but there's a piece of plastic that is in the way. How should I go about this (I don't want to yank the plastic part off the pedal). Here the picture:
I believe you will have to remove the reflector to get to the screws and there doesn't seem to be a non-destructive way. The mounts for the reflectors look like they are designed as one-way plugs. You could drill holes into the reflector to get to the screws without removing the reflector - which would be difficult to put back on. Even if you get this screwed back together, this is not going to last: the plastic is too weak to withstand the forces exercised from the metal plate when you stand on it.
I'm not sure this is worth the trouble. These are cheap pedals for which you can buy replacements on Ebay for under $€£ 10 from China including shipping.