1997 Buick Skylark transmission?

I was driving and all of a sudden I couldn't accelerate anymore, when I push the gas it just revs up and doesn't accelerate. It won't shift into gear at all, when I shift it is really smooth, I'v been told "too smooth, " like there is nothing catching like it should be. I got a code reader and the codes are: p0134, p0300, p0420 and p1406. My brother told me that my vacuum hose is broken, almost in half and that may have something to do with it. He's pretty good with cars and said he doesn't think the transmission is out, but something else and could be an easier fix just don't know what it is exactly. I'v had problems before with this but all that happened before was it would get stuck in a lower gear and not want to shift into higher gears while driving, I would push on the break and wait for it to switch gears and it always worked, this time it didn't.