actual you are wrong, the The Earth-Romulan War happened before Kirk was even alive. This war was forshadowed in Star Trek Enterprise and if the show wasn't canceled might have included it in its story.
http://memory-alpha.org/en/wiki/Earth-Romulan_WarAnd far as the car, i'm sure well into the future after gas powered cars are out of fasion some people will still have them as hobbies or collectors.
The one thing that did bug me about the trailer was the fact they were constructing the Enterprise 1701 on earth. Every other enterprise including the NX was built in space. It has been noted that the 1701 was built on Earth in San fran, but assembled in space. They were clearly assembling it on earth.
I know this movie is kinda a re-imaging of Trek, so it will be full of cannon mistakes. If its a good movie I won't mind, It will be fun to point them all out though, heh.