1- Permiteme revertir el carro 2- Permiteme voltear el carro 3- Permiteme dar de reversa al carro (maybe this one it's a little different)

Kinda depends on the context. Literally it says "Dejame voltear este carro" But probably what you want is: "Déjame hechar marcha atrás este carro" "Déjame dar de reversa a este carro" Which means taking the car and drive in reverse gear

Hi, here in Argentina it is more frecuently say something like: Déjame dar marcha atrás el auto.

Ok thanks