That's it! Thank you
Oh the power of DS!
I still think it's True Romance, not Badlands.
True Romance has the couple on the run from the mafia, including Christopher Walken and James Gandolfini. Christian Slater and Patricia Arquette. And they do hang out in motels quite a lot.
Dennis Hopper as Slaters father also figures extensively.
There was no mafia or motels involved in the original Badlands, which was made in1972, whereas True Romance is 1993.
Check out the trailer for both -
True Romance -