strevisa

The three guys from university days haven't even asked whether the cutie pie is their daughter (she is smart, too). That's how much they "care". They don't deserve to be the father.
"Ah yeah? I am the dad? really? OK, wanna go to the movies, get coffee? [and change subject] ..."

There are few or no coincidences in kdramas. This series has still lots to reveal:
AeJung may herself not know who the father is;
PaDo's background! He may be behind AeJung getting hired by the sinking film company, or wanted to get back at someone with the movie, or expand his business;
Jin (isn't that a name for a woman?) has so far shown no depth;
YonWoo, the youngest guy of them is linked to the world of movies
etc.
The thing that doesn't make sense is why those four guys are running after AeJung. Especially the three who never got married look like losers because of that:
if I had never been married and were to contact a former girlfriend, I would give a very poor impression of myself to that person (besides the obvious from my wife, who is Korean, and would jump to "죽을래?").

Fully agree with 333 who stated that this stuff is sloooooow. It has its moments (e.g. the Bluebeard thingy at the end of an episode, and whenever the unfortunately underrated actress Park JinJoo is shown), but you need patience to get there.

Of the six-some, 3 dudes and 2 dudettes are linked because of their past (high school and/or university), which raises the question: what is the CEO/gangster's connection to them? Why did he want Jin as an actor and Cheon for the script?
Additionally, the daughter is adorable. Her grand-ma is not bad at all.
Loved the scene with the umbrella: - got a big one, wanna share?
- did you get it from that bar?
- Jiogihyo! [run]