I originally thought the Yavin IV stuff needed to go as well but after reading some commentary and THEN the reveal that it’s YAVIN IV, I disagree. Yes, trim the bejezus out of it BIG TIME, but keeping some of it is a necessity. And here is why.

We see the origin of Yavin IV as a rebel base. That is HUGE.
The back and forth between the squabbling, disorganized rebels in the dangerous, dirty jungle who were infighting, had no food, were fractured and barely had a clue contrasted with the board meeting of the imperials was stark. They were clean, well dressed, well fed with drinks and canapés. They were organized, working together, and casually discussing decimating an entire planet.

Cutting the Yavin IV story is cutting that brilliant juxtaposition of why the Empire is winning right now and the rebels are not. Again, trim the heck out of it, but keep the core of it. It IS important.