I think they still have a chance to win Baeksang's Best Drama category (or at the very least, be nominated)
This year's best drama is Mother (average ratings: 3.46%) while in 2017 is Dear My Friends (average ratings: 5.06%) which is not that far off from My Ahjussi's average ratings (4.98%). Achieving high ratings is not the prerequisite to get this award so I feel like Baeksang is quite unbiased when it comes to this category. The only thing that worries me is if they take public reception into consideration. My Ahjussi received a lot of controversies in the beginning so I wonder if that factor will get in the way of them winning the award.
In my opinion Kim Won Suk has a chance to win the best director category too and also Lee Sun Gyun to at least be nominated for the best actor category. For him to win will be a bit difficult, since there's a lot of competitors this year (some of them are Jo Seung Woo with Life, Jung Kyung Ho with Life on Mars, and Lee Byung Hun with Mr. Sunshine) But it's still possible.
For me, it doesn't matter if they don't win, but if they don't get nominated, I will fight someone LOL. I want to see the cast, director, screenwriter to go to the awards ceremony. They deserve that.