If he's a teacup, I thnk you might want to rethink the dosing. For animals, it's 2 drops per 50 lbs. So, I'd be more likely to dose 1/2 a drop, or even 1/4 of a drop. To do that you'd make up 1 drop activated in 8 ml of water - and then just give him 4mL - You can keep it in the fridge or in a cupboard - just away from light - and use the second dose later.
To do the 1/4 of a drop, Activate a drop, put it in 16 ml of water, and then give him 4ml at a time. Again, it will store fine for a couple of days - You may find that he actually gets better a lot faster than you thought he would.
My cat, Ivan, bless his heart, was a vaccine injured kitty. The vet refused to have any cat or dog in the clinic unless they had aBordatello vac- which is actually a dog vac. It was supposed to "protect" the pets if they were treated or boarded. He came home with a constant sneezing, snotty situation, and has occasionally had a respiratory problem magnified ever since, and that was 12 years ago. Another vet, later on, asked why on earth that first vet did it. Wrong vac, etc. I got to the point where I started thinking about vets like I think about docs - very nervously. I treat my cat when it gets worse, haven't actually done a full protocol on him to "cure" him. Probably should.