I can't figure out why It won't let me move the model even though the bones are selected.
I've had that happen sometimes, too, if the model was poorly rigged or the modeller didn't get rid of the old rig if they used someone else's model for a base.
Sometimes if that happens, I double-click the bone I want to move. That selects the bone underneath that is actually attached to the model.
If that doesn't work, the rig is just broken, and it will have to be fixed in Blender probably. Unfortunately, I can't tell you how to do that since I don't know how to rig in that program.
open the model in pmxeditor and check if the bones are selected for rotation or move