Hello @GoldwingTX,
Welcome to this Apple (user-to-user) Community!
Re: "I have been having many problems with Carplay ..."
Thank you for your thougtful post, for providing a clear picture of your issues, and what you have already tried.
Not everyone using iOS 27 versions has CarPlay issues, and some with issues initially, have found their own solutions fixed their issues. Each case is unique.
(1) Have you tried checking for firmware updates for the stereo / infotainment systems in both vehicles ... the vehicle manuals or the manufacturer's "support / help" website may provide more info.
(2) Have you checked through Apple support's trouble-shooting article (link below) for tips:
If CarPlay isn't working as you would expect it to, find out what to do:
If you need help with CarPlay
(3) Have you updated the iPhone's iOS to the latest version:
ie: About iOS 27 Updates - Apple Support says "iOS 27.0.1" is the latest
"This update provides bug fixes for your iPhone" (more info. in article)
(4) If installed on iPhone: VPN, (if not provided by an employer) can be responsible for interference ... as it still runs in the background when turned off, using an uninstaller from the developer is the best way to get rid of it, and any associated files.
(5) As Apple customers, just as you are, no-one here has the access to fix software bugs. If that is what you suspect: Apple welcomes feedback, yet is unlikely to see your post to us here.
All feedback is carefully read and logged. If others are reporting similar issues, and Apple finds its software is responsible, there may be an update that addresses those issues. The more feedback Apple receives on which iPhone models, software versions, and vehicle models are affected, the more likely the issues will be addressed. (You could include a link to your post here, if you wish)
Apple's feedback website provides web-forms designed to reach those who work on the software behind-the-scenes at Apple.
All the best :-)