MR is early and at the Al Hirschfeld at W 45th and 8th Ave. I would recommend Kochi for that one. Get a 5 PM reservation (They are at 10th and 46th) and let them know you have a show at 45th and 8th at 7. We did this before a 7PM of Hamilton, which is about the same distance away as you are going to have to walk, and it worked perfectly. Kochi is also easy because it is set menu, so you only have to decide on which one. https://www.kochinyc.com/ Aaron Tveit is back as Christian, so well done.
Hadestown (which is really good, shame you are missing Patrick Page as Hades) is at the Walter Kerr Theater at 48th and Broadway. For this one, I recommend Le Rock (in Rockefeller Center at 50th and Rockefeller Plaza). It is outstanding. Reservations open 14 days in advance. You would want a 5PM res, and the people watching here is absolutely magnificent. https://www.lerocknyc.com/ Just in case, definitely have a backup. Samovar at 52nd and 8th is a good back up, and an easy walk to this theater.
The Six matinee on Sunday is at the Lena Horne Theater on W47th near 8th Ave and is at 2 PM. Honestly, go down to either the Village or West Village and grab brunch at Dante or Dante West Village. The cocktails are great. They start brunch at 10 AM. Other recommendations would be Dim Sum brunch at Jing Fong (10:30) or Nom Wah (10, get there early!) in Chinatown, then hitting the show.
I am planning a similar weekend for the last weekend in Feb when a friend comes to town. Right now, we have tickets to Some Like it Hot for Friday night (aiming for a Le Rock reservation), then we are debating going to see Bad Cinderella at the matinee the next day. No idea what else to do, though I am leaning towards Overstory and Crown Shy for Friday night.