That illustration is not from this comic. It was a special from 'If you hate me so'. From which then this story ('Love is an Illusion') was created- This comic here has not much to do with the old illustrations. Also Dojin and Hye-sung are different here than in the original story. Only in the extra, they both had a child, because that would not be possible in the original story.
In the illustration, Dojin and Hye-sung are not separate. Hye-sung is overprotective and does not trust Dojin to go out with the baby alone and monitor them. Dojin, however, notices the badly made surveillance and says that he hopes the baby is not as stupid as his mother.
He's going to leave the kid behind the second it's born