Lyric discussion by bemisman 

Cover art for No Furniture lyrics by Everyone Everywhere

Sounds to me like they were living together but that ended ("ask why I loved this"), and they've moved all of their stuff out now. Maybe they're both doing one last run through the place, having one last conversation and one last goodbye, before calling it quits for good. It's tough for them, neither completely wants to let it go ("we can rewrite something"), but ultimately they know there's not other choice ("it's fine, we can all go and do whatever we want").

She offered to drive him to his new home but he would rather stay in their old empty apartment than spend any more time alone with her, which would certainly be emotionally hard for him ("spare me the car ride home").

My Interpretation