Just like the Voyager game, this developer decided to limit saves to each POI. This will briefly explain what you need to do to get around this.
How to Back Up the Save File
In order to back up the single save that gets overwritten after every POI, you will need to go to the save folder and copy the MetaState.json & RunState.json files into a separate folder. I created a Before Battle, After Battle and Save folder for random POIs during the sector progression until I get to before the battle.
Use the below address as a guide, depending upon your setup:
C:\Users\*Your Microsoft Account*\AppData\LocalLow\Alt Shift\Battlestar Galactica Scattered Hopes\Saves
Just Quick Pin that bad boy until the developer gets around to building a save and load function. Good hunting!