Q: My Car drives forward not backwards. In N and R rolles forward, but will not roll back. Have to lift front to move the car beck.

Hi there. Make sure the vehicle is on level ground with the engine warmed up when checking transmission fluid. Check the fluid for color, smell, and contamination as these could be telltale signs of what is occurring inside the transmission. It does sound like there is a shift solenoid that is not activating; this could be the 1-2 shift solenoid or the low/reverse solenoid depending on how many are in your particular transmission. These are simply valves that control the flow of hydraulic fluid used by the transmission control computer to determine the gear selection for the transmission. These solenoids can be manually activated in the same way you have described by selecting D1, D2, and so on. Since there was no change in the transmission operation when you selected D1, this could be a solenoid or electrical circuit fault. The solenoid could be mechanically broken/stuck or there could be an open circuit in the solenoid or the electrical circuit itself. Properly testing this system and components should be performed by a qualified technician and I strongly urge you utilize one for this inspection to avoid replacing unnecessary parts. Your Mechanic has several available technicians that can assist you with a car does not move inspection [https://www.yourmechanic.com/services/car-does-not-move-when-i-step-on-the-gas-pedal-inspection].