Sorry to slightly disagree DrPlasma but...

Between shoulderblades pain:
Normal? Yes and no. Depends on type of pain and how long you have been riding the new bike. Road bike position is very different from hybrid position and requires different muscles to work to support your back. At the beginning of this season it took me about 300 km (12 hours on the bike) to completely forget about that same part of my body... And other cyclists I know who don't use the trainer in the winter experience the same thing. BUT I am talking here about some kind of muscle soreness, not sharp pain. The latter could be caused by wrong positionning. Unless you experience such sharp pain, I'd let your body get used to the new bike for about 200 km before you change the fittings...

As for braking, I'm not sure. It doesn't sound normal to me that the road bike doesn't brake as fast as your hybrid if you apply the same pressure on the brake levers. When I'm in the drops (the curvy part of the handlebars) and brake, it BRAKES. If I'm on the hoods, it's usually more subtle, but still I can have the thing stop very fast if needed. Here again you have to develop a different set of muscles, too (in your hands). But it's a matter of security. You should discuss this fitting with your bike store knowledgeable people before you get into a situation where you have to brake and can't.