My little man has GERD and he'd nurse and nurse (well, it wasn't much, when I pumped he'd only take 2 ounces, he was very early) and he would projectile vomit and cough and there was blood in his vomit (though not much, just streaks). Took him to the ped. who prescribed Zantac and he still vomited but he didn't cry about it, and the blood went away and his throat repaired itself.
I'm not saying get drugs, but if it were reflux, I'm sure your ped. would have mentioned it.
I agree with the other mamas: the baby will learn to self-regulate. If you don't nurse on demand you'll affect your supply negatively.