score:3
Typically, when a flight gets removed from the schedule, the airline automatically rebooks you to something that could be good for you, but not necessarily is. How would they know if you would prefer to go earlier, later, or not at all?
If you call them, and tell them that you don't like the option they selected for you, they are typically willing to go with you through all other available options.
My experience is they are rather generous, as long as there are seats in your preferred alternative schedule, they give it to you for free. However, your mileage may vary; my specific experience so far is with United, Southwest, Lufthansa, and Avianca, and others might be less supportive.
They also typically offer you to reverse the whole trip, and you get all your oney back; however, this is rarely interesting, as any other flights are now probably more expensive.
So call them and ask nicely for alternatives, and hopefully you can pick your favorite schedule. Don't expect them to fly an extra plane for you though...