Alright, it's rare but I feel like sharing some of the things I am thinking at this point in the story.
Felix and Chad, son like father? As in, as the story seems to be going along Felix seems to be getting angry a lot. I'm sure he has a lot to be mad at his mother for, but it's going a little far. Plus that dream. It seems like Felix is becoming like his father was. Just like Chad said early on, That boy is truly my son.
Rose, whatever this project is it was used on Rose, and she became more? Not sure. I am basically going on what that old man said about some people thinking of Rose as a God. Which leads me to believe whatever was done to her changed her into something. . . more.
Also, it may just be a family thing, or it could be this project since entries are missing. But, Felix becoming more like Chad could be because he was also used in this project.
Spoiler
I've been thinking this for a little bit because the odd dreams Felix have been experiencing lead me to believe that he is slowly becoming Chad-esque. However, Rose seems to have always been a quirky sort of character and I believe that maybe the "experiment" altered her physical state forcing her to leave immediately with only leaving a letter behind and using other people, Oscar(who would've been easily manipulated by almost anyone), and using the telephone to contact Felix rather than directly meeting him in order to ease his anger in seeing her unruly appearance.