I just noticed this in an article on the new Star Wars Battlefront video game coming out:
Here's the official blurb on the Battle of Jakku:
- The pivotal moment when the New Republic confronted key Imperial holdouts on a remote desert planet on the Outer Rim. Taking place in the aftermath of the Rebel victory in the Battle of Endor, players will experience the events that created the massive, battle-scarred landscape of Jakku shown in Star Wars: The Force Awakens.
Based on this, it appears the Rebellion does indeed form the New Republic and defeat the Empire. Presumably the First Order then shows up and ruins/conquers everything.
This leaves me wondering how strong the ties really are between the First Order and the Empire, and if Episode 7 ships will just be added in to the current factions or have their own.