do these jets affect the trajectory of the comet at all...
I don’t know but this thing is moving real fast and it’s a pretty good size. Would maybe take a bigger push?
Yes.
F=ma
BUT ... not much mass in those jets, so not much force.
For every action, there is an equal and opposite reaction, so yes, they do.
Not only will the comet be pushed in the opposite direction of the outgassing (slightly), but the comet is losing a small amount of mass, which must also affect its orbit, as the orbit is a function of gravity, based on mass.