1- That HW has strict rules about gems and their purpose and wont allow any who stray from that. Be it "runts" or gems who decide to take on forms or roles they're not meant for (so basically the CGs). But
it feels like that's a common enough thing that they seem to always be trimming the fat by using soldiers like Jasper to shut gems down who don't obey on HW or other planets. I remember one of the things Jasper said when she first got to earth was that it was another waste of her time ... seems like she has to be sent out to purge their outsiders fairly often enough. So yeah, wonder if we'll ever see more planets that have their own rebellions.
2- The Amy = Pizza Twins link is solidified. Not with a Twin Amy like I thought it would be but with a "sister" gem in Jasper. :3
3- I REALLY feel like PD was in charge of growing and producing/ nurturing Gems and that the Gem injectors were her thing to help with that. Feel that way because somehow what Rose did effected HW (unless Jasper meant Earth by "my planet") and if the ONE Diamond in charge of maintaining and growing the Gem population gets shattered then that responsibility has to be handled by the others, right? They might not be doing a great job with that and HW's resources could be suffering because of mismanagement. Also, all the Gem injector things are Pink and that feels important.
4- Rose is not PD and, according to Jasper (who knows if it's true or not. I'm assuming it's true cause why would the Diamonds wanna spread around that one was shattered by a soldier gem?) Rose killed her/ caused her death. On a side note I do wonder if Rose used the Break Point on PD. I mean ... she left it exactly where Bism had it instead of tossing it into the lava after poofing her like Steven did. Why would you keep a weapon like that around if you're not gonna use it some day?
5- Jasper was apart of the PD faction/ rule/ party like Rose and we could assume Pearl (from her space suit). Meaning that PD must have been the one who put the injectors in the beta kindergarten to make more warriors to fight in the war.
6- Seems like Jasper's been through this "feel-worthless-and-follow-the-one-who-makes-you-feel-like-less-of-a-failure" thing. Which would explain why she's with YD now that she wasn't able to save/ protect PD.

She also calls earth a prison which I don't get. I mean, I know that she thinks poorly of the earth but prison is where you send law breakers. Maybe she means prison in that this was were the weak were left to suffer after HW left earth alone.
7- Rose is a well known manipulator. Jasper doesn't trust a thing Steven says.
8- Seems like she finally is catching on to the thought that w/e Rose did to herself changed her into something that's truly not Rose at the end ... seeing how "Rose" doesn't remember her own Diamond.
9- Jasper is truly sad and alone. Rejected by both her known fusion partners ... takes it hard.
Save her Pearl! You're the only one who hasn't had a heart to heart with her!

Garnet=Fusion is good!
Lapis=We had a toxic, unhealthy relationship. We can't go back to that.
Amy=Talking about strength and doing stuff other then fighting.
Peri=Talking about how there's so much more to earth and how it can set you free.
Steven's been there every step of the way mostly + Stevonnie's talk with her.
Pearl, be the final blow!