Well, the goal is to try to not get hops in the fermenter in the first place, much less the bottle, so maybe think about a crude filtration method when you're going from boil to fermenter next time. Whether that's hop bags or a strainer on your way to the fermenter, either should work.
Probably not, though, hops is less dense than beer and will likely stay afloat....but it might after awhile once it becomes super saturated. That said, it's not gonna hurt ya'. I've been known to put fresh hops in beer just to get that uber fresh hop smell going.
when i put the cooled it and then dumped it in the 5 gallon carboy i cant remember if i dumped all the debris too. Then when i was siphoning the beer the dam thing keep moving around and steered a little bit. Wish they had a clamp or something to hold it in one place so you can use the siphon with out moving.