Transmission does not shift automatically, only manually. Swap in a known-good PCM, check wiring, check other sensors such as VSS and TPS, but before doing all that. Check the fuse to your transmission and if that is good and the rest of the fuses, follow with inspecting the wire harness which is located on the passenger side of the transmission.
Good luck and keep us posted, your transmission is electronically controlled to shift by the PCM.