(Sorry, the other answer beginning with yes, I wanted to begin one with no), but both answers are correct from a certain point of view.
Jupiter's rotation is speeding up because it's contracting. See here. Jupiter does slow down due to it's tidal bulge and tugging from it's moons, but the bigger factor is that Jupiter loses more heat than it gets from the sun. As Jupiter loses heat and as it gravitationally coalesces, it gets smaller, which speeds up it's rotation. That's the larger of the two factors, though running the numbers makes me cringe a little, but I'm fairly certain.
The rate of rotation of a gas giant is somewhat difficult to measure with accuracy, I'm fairly confident that overall the shrinking is the larger of the two factors and Jupiter's rotation is slowly increasing.
For your 2nd question, a tidal bulge can slow down or speed up a planet, it depends on whether the moon moves ahead of or behind the tidal bulge. If Venus, which rotates very slowly, had a moon, the moon would likely slowly increase Venus' rate of rotation and the Moon would move towards Venus, not away from Venus. For moons around more rapidly rotating planets, the planet slows down by the tidal interaction and the Moons move away. In Jupiter's case, it's dense ionosphere may create some resistance that counteracts any tidal force moving it's moons away.
Io, Jupiter's innermost moon, by one article, loses about a ton a second to volcanic activity and tidal flexing and some of that material spirals into Jupiter creating it's permanent Auroras. It's difficult to say what the net effect on rotation from that would be, but it could have an effect.
There's a few different factors too look at beyond just the tidal interaction. Io, if it was alone with Jupiter, it could well slowly drift closer, but the 4 moon resonance might stabilize it's orbit somewhat. The entire picture of the motions of Jupiter's moons is above my pay-grade, but Jupiter's shrinking is still likely the single biggest factor, which means it's rotation rate is probably slowly increasing not decreasing.