Like Bogertophis said, a photo would be helpful. A little bit of shakiness is normal, especially if the snake's head and neck are up in the air. I think it's just the effort from holding up their head and their prey as they are swallowing. My BP does this as well sometimes. Young BPs also tend to be voracious feeders until they hit roughly the 800g mark.
It does sound like your snake might have a shed impending as mentioned aboveI would say you only need to worry about your snake not pooping if you see significant bloating around the vent and bottom third of the snake (dubbed the "sausage butt" by the snake keeping community), in which case a soak would help move things along. As snakes get older and bigger, it's also normal for them to poop less frequently. I can definitely relate to your concern though, my BP pooped regularly every two weeks for a while, then went from pooping once a month to once every two months! This worried me and I even consulted a vet about it, but it turns out that it's normal for a growing snake.
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