Do any commercial airline models have a parachute at rear to help in landings?
It is called a drogue parachute and I don't think that any of the present generation large commercial aircraft use them. 

That said, a number of older commercial aircraft have used them, a good example being the Sud Caravelle.



Image from eu.airliners.net

There are some issues with using drogue chutes in a commercial airliner, which would limit their effectiveness.


Most commercial airliners have thrust reversers already.
For it to be effective, the parachute has to be quite huge. For example, the Handley Page Victor, which had MTOW in the range of A320, had a drogue chute 48' (or 14.6m) in diameter. The chute would occupy volume and increase weight.
If drogue chutes are used, they have to be packed before every flight, which will increase turnaround times. Another option is to replace them at the end of every deployment, which would increase costs.
Deployment failure/partial deployment/Uncommanded deployment will affect the safety of the flight.
The need to use a drogue chute can limit the crosswind landing of the airliner significantly.
Aircraft dragging a huge chute during taxiing back to the ramp is not a good idea from FoD point of view.