Chris, I think we can help get Photon working for you. I was just looking through your earlier examples, and the filenames do seem to be a bit off.
Let's use the first image as the example. The original image being called is http://www.automoblog.net/wp-content/uploads/2012/10/2013-Lexus-GS-350-front-side-view-623x389.jpeg - that works fine. When I deactivate Photon, it also displays fine. But when Photon is activated, it shows that it's broken. When I try to view image (http://i2.wp.com/www.automoblog.net/wp-content/uploads/2012/10/2013-Lexus-GS-350-front-side-view.jpeg?resize=623%2C389) it says "We cannot complete this request, remote data was invalid"
The 1st link refers to filename 2013-Lexus-GS-350-front-side-view-623x389.jpeg
The 2nd link refers to filename 2013-Lexus-GS-350-front-side-view.jpeg
Photon should see those as two separate images.
If you take the working image link from your site and apply Photon, it works as expected:
Okay, so that's a re-cap and establishes that the Photon API is in fact working. Next, if you're interested in looking into it, I'd like to try to work out why you saw a Photon link for "2013-Lexus-GS-350-front-side-view.jpeg" (which doesn't exist) instead of "2013-Lexus-GS-350-front-side-view-623x389.jpeg." I suspect it's either a bug or it's a plugin conflict (which is what Jeremy was trying to test by asking you to temporarily deactivate WP-Smush-it).
Note that Photon applies lossless compression with jpegoptim for JPG files, so WP Smush-it isn't needed for files served via Photon.
Jetpack 2.0.1 will be released soon, and it has several Photon updates—I'm not sure if one of those will fix whatever is causing your issue, but it's certainly worth trying out 2.0.1 when it comes out. If you'd like to look into the issue before then, I'd be happy to help especially if we can find and report a new bug (if it's new, that is).