In regards to the time shenanigans-in the book, they use Earth units of time since Grace struggles with the Eridian years and Base 6 numeric system. There's a bit at the end where Grace specifically mentions his age and time dilation, but it's left somewhat ambiguous if he's using earth years or eridian years for other things in the final chapter. I only have the audiobook but I can pull clips from it if you want.
Sincerely, A fellow person who also gets really confused by time math
Unfortunately I have made up my mind about how the timeline would work, obviously the events of PHM is earth years and the years Rocky tells Grace is translated to earth years, with the exception of the time he spent with Adrian as I'm debating if I'm makeing that Erid or Earth years.
Which means that the time Rocky spend in space is much longer on Erid terms. So the PHM part of the timeline isn't too broken to say the least as well as past timeline on Erid.
But after they come to Erid everything will still be said in earth years for you guys but the time that passed is Erid will be in Erid years which does slow down Grace's aging by technically.
[As I am typing this I realised I didn't bring out my calculator which fuck why past me why didn't you put it in your bag, now I need to use the old fucking model at my parents place.You do what you got to do]
So Grace's age on Erid is probably the most complicated one and I need to make a separate post to explain it properly.