It's awful, the colic is gone but sleep is messed up, I don't understand…

It's awful, the colic is gone but sleep is messed up, I don't understand what's wrong with the baby, he cries 60% of the night, turns over to puke, but also something else, like worms in one place... I don't know what to do, I can't sleep, what's going on with him? Could there be intestinal parasites at this age? We have a cat and he's been exposed to pooping on the floor for 1.5 months, sleeps in his litter box, constant contact with fur, is it possible that the cat could be causing this? Because I just don't know what to think.