There are no trailer hitch receivers available for a 1968 Chrysler Newport, so while you can't tow with this vehicle if you are looking for a way to carry cargo or use a bike rack, and your Newport is the hardtop, you do have one option. The way to do that would be with a vacuum-cup mounted roof rack, the SeaSucker Monkey Bars Roof Rack # 298-SX6000B.
I have added a link below to a video review for you to check out as well on a different vehicle which shows how this rack works. view full answer...