So about new SU episode “Same Old World”. In the End of Flashback, Pearl shows up and picks up Lapis trapped in mirror.
We can see this is Pearl´s 80´s design, that she´s first looking at sky, and it also seems Pearl came on Galaxy Warp alone.
I was wondering: Homeworld already left, what is she doing here, why did she come back?
And then it hit me.
Pearl talking to Steven in “Space Race” : I’ll always have my memories of other worlds. But now I’m here… on Earth…forever.
Pearl about Greg and Rose dancing in “We Need to Talk” :
… I think he’s her favorite too.
Garnet to Peridot in “Log Date 7 15 2″ : “You can see
Homeworld’s galaxy from here.
Pearl went to Galaxy Warp to mourn the fact that she can never travel to Space again. She went alone because Rose was with Greg and they probably invited Garnet and Amethyst. (like when they played in band during We Need to Talk)
She went alone because she felt like she had nobody and nothing left on Earth and that made her miss Homeworld even more…and we all know Pearl stayed on Earth for Rose.
Pearl in “Rose´s Scabbard” : “
But why would I ever want to go home, if you’re here?“
Key and Teeth 