This is a not complete answer to the above question, but just a helpful hint. As it is stated on Android Backup Service help page

Not all apps use Android Backup Service. Some apps may not back up and restore all data.

So you should at first check if GPSLogger utilize Android Backup Service and then try to extract backup data.

The most proved way to backup app's settings is to copy folder beforehand

/data/data/com.some_vendor.some_app

and then to restore it manually. Or use some professional tool like Titanium, of course.

This is a not complete answer to the above question, but just a helpful hint. As it is stated on Android Backup Service help page

Not all apps use Android Backup Service. Some apps may not back up and restore all data.

So you should at first check if GPSLogger utilize Android Backup Service and then try to extract backup data.

The most proved way to backup app's settings is to copy folder

/data/data/com.some_vendor.some_app

beforehand and then to restore it manually. Or use some professional tool like Titanium, of course.