Hey Mathew, Tanuj from Estimote here. Yup, our original Beacons include temperature and accelerometer sensors too. We actually unlocked those features via an over-the-air firmware update a few months ago: http://blog.estimote.com/post/87918401035/firmware-update-ac.... Use the Estimote app to update your beacons' firmware and you're good to go.
As to your other question, currently the beacon or sticker just transmits exactly as you said: moving or not. But we'd like to expand that in the future to include direction, velocity, time in motion, etc. Are there particular parameters you'd like to see?