Getting rid of car noise

the best results would require going to a sound studio with an expert handling this sort of thing.     There are 3rd party plug-ins that can do miraculous things but they require an experience hand on the controls.    And yes, Audition will do a better job than premiere and you may be able to improve it to your satisfaction... 

As Richard suggested, Premiere Pro won't be able to do that well.

Post your question here:

https://community.adobe.com/t5/audition/bd-p/audition?page=1&sort=latest_replies&filter=all

This might be better done in Audition