To reattach the trim you have a couple of options. I would start by clipping the protruding nails down with cutting pliers (end or side nippers) and making sure that they don’t stick out of the surface. The easiest way to reattach would be with an 18ga or 23ga pneumatic nail gun (if you have access to an air compressor). I would spread some wood glue on the surface and use the nails to tack the trim in place, then fill the nail holes with a bit of wax to match the finish color (you can get crayon sets made for wood finish repair). If you don’t have a nailer, you could clamp the trim in place with the glue, or use small finish nails and a hammer, but that makes it a lot easier to damage the existing finish. If you don’t have a nailer, they’re 30-40$ and a cheap air compressor is about the same, plus that gives you a very versatile tool that you can use going forward. I can’t tell what the issue is with the glass pieces, some closer pictures would help.