Post pictures of your girls leaves, especially the ones down low. Spider mites tend to start eating at the lower leaves first and work upwards. They also leave distinct marks on the plants.
And to answer your other question, yes you need to deep clean your flower room, and you need to make sure your veg plants are 100% free and clear to make sure you don't end up in the same situation. When the bad run i'm dealing with is done, I will "schwazz" the plants that are vegging. Not to increase yields, but to take away food sources for the mites and make sure I can spray every nook & cranny on the plants.