The catchlights in the eyes are dull to non-existant, which is certainly part of the problem.
Not very helpful. What's your idea on correcting that issue you pointed out?
Generally, it means the light should be closer to the subject, at a correspondingly lower power to maintain the same fstop.
For the bags under the eyes, concealer a shade lighter than the skintone in the dark crease, covered w/ foundation. And don't be afraid to clone it out in PS.
Maybe add a background light just to give variation and dimension to the background. While I'm (barely) ok with it as is in the first one, the second shot is begging for a snooted background light, and maybe even a gridded hair/rim light from the rear.
In the second shot, he seems to be forgotten about, lost behind her hair and grinning madly in an emasculated I'm still here kinda way. Maybe turning her shoulders to face him and having them more cheek to cheek would resolve that. Or moving her behind him (while more traditional) would maybe work better.