A lot of hard work here!
One note for the melaket: the Rebbe MH”M’s family name is spelled שניאורסאהן

Why does it go Alter Rebbe – Mitteler Rebbe – Mitteler Rebbe”s daughter rather than the Alter Rebbe – Devoirah Leah – Tzemach Tzedek?

The yichus of the Rebbe shlita comes from the tzemach tzedeks father reb Sholom shachna which connects somewhere to the line and not through the alter Rebbe and mitteler Rebbe

The Rebbe is BEN ACHAR BEN from Dovid Hamelech. Not through the Alter Rebbe. Rather through Reb Sholom Shachne the father of the Tzemach Tzedek.