I assume that your Peter Pan FP is so late because that is the only time you could get.
So my first piece of advice is that if the park opens at 9, be at the gate by 8. They will let you in up to the castle. Get all your pictures taken I’m fromt of the castle.
After the welcome show hit the 7 dwarves mine train, Winnie the Pooh, Under the Sea, Dumbo and the Barnstormer.
Head to Tomorrowland and ride Buzz Lightyear, Space Mountain using your Fp and the People mover.
Next to Space Mountain there is a walkway that heads to the train station. Take the train to Frontierland (2nd Stop). This lets you off right next to Splash Mountain.
Ride Splash and see if you have time for Big Thunder. Walk towards Adventureland for Pirates and Jungle Cruise.
There are 2 breezeways that provide fast access from adventure land to Frontier land, cross one of these and head towards the Haunted Mansion.
From there it is a quick jump back into fantasy land for Peter Pan, Small World and Phillharmagic
This is a guideline as far as what direction to move. You probably won’t get every ride in before 4:25, so wait times will dictate what you can squeeze in. Don’t forget that after you tap your band at Peter Pan, you can make a 4 th fastpass for something else
Also remember that you have that one hour window. You don’t have to be at Space Mountain right at 12:30...so if you are riding something else at that time, you are ok. Technically you have until 1:45 to ride Space Mountain because they give you some slack.