Hmm,, I'm trying to remember so don't hold me to this , but when you go to export the image there's a 'dialog page' that one ordinarily zips past which allows you to just choose to include the exif.. is that right???
As far as the image goes , you're blowing out the whites on both the lower images , Some folks accept a bit of that since it lets you make for a brighter image , but if you can shift the midtones up your pic will be brighter without creating the blank space on its muzzle. The tone is a little warm but I think it will look nice if you can get the overall image lighter.
( you can always selectively drop the saturation of the yellows rather than change the overall temp -Or if you have PS the 'pearly whites' filter can adjust the white tones )
Use the selection brush tool in LR to selectively just make the eyes, bluer without introducing odd tones elsewhere in the image... as happens when you raise overall saturation or temp controls.
PS If you like any of my comments, please let me know ,, if nobody tells me otherwise I'm not going to bother making suggestions.