As stated, you will always have to tune for doppler on 70cm. Tuning for doppler on 2m is usually not necessary, but may be of use on some passes (to eek out the most of the pass with the best audio).
The tone is always on the uplink (Tx) frequency. If your transceiver allows it, you can program each satellite as a group of "split" offsets (meaning that the input - Tx - is on one band, and the output - Rx - is on the other band). Many radios don't allow for this. But more importantly, you will have much better success if you operate full duplex, meaning you are using either a full duplex transceiver (like a Kenwood D72 or D710G) or using a pair of cheaper transceivers (one on Tx, one on Rx). Do check out the AMSAT links as there is good info to be found. Also check out the satellite forum on QRZ.com and the AMSAT mailing list archive for more info than you probably want.