Milutin,
If you have 3000 euro camera why should you use basic JPG compresion to save space, buy mor memory. Take the pictures in RAW and compress them after processing in photoshop or whatever you use in your computer.
Second, I also think that the first photo is underexposed as the camera metered light from LED screen, not from the face or other part of body. If you do not have enough details in the shade where the eyes are, there is no procedure that can reveal that details again. The difference between tones in this underexposed shade is too small.
Third, Ms. Katic does not look much better, no matter how you take the picture of her. Even calling her "a girl" cannot help. Both the year of manufacture and the mileage...
Fourth, you forgot to send the photos that you promised to your kum so this was the punisment.