>>53433637At a glance, the bottom rightmost badge could be from a Normal gym, though it might also be meant as a glacier for Ice. Steel could also apply, though that was unknown at the time.
The top rightmost badge resembles a magatama, so it could be Ghost, although I could also see it being a fang or a beak for Dragon or Flying.
The square beside it reminds me a lot of Porygon, so I could see that being another Normal gym, or perhaps an Electric gym run by a scientist who includes Porygon in the same way Sabrina had a Venomoth.
The green and orange shield could be a lot of things, though Bug or Fighting feels the most likely there. The one above it is also hard to make out, but the best guess I have is stylized fists or cliffs for Fighting or Ground.
The one next to the Cascade badge could be a bell, but might also be a mushroom for a Parasect focused gym, so Bug or Grass.
The only one I can't quite puzzle out is the other red badge. Fire is probably a safe enough bet.