We get our token reminder from every arc this chapter that our Saiyan protagonists aren't as strong as Beerus. He tells Goku & Vegeta they're still a ways off from becoming Hakaishin, which is great because there isn't much to do besides destroying a few things every now and then, leaving plenty of times for naps. Goku says he doesn't want a bad job destroying things. Beerus is offended that Goku thinks his job is "bad". Whis chimes in that Beerus hasn't been doing his job these days anyway...
Toyotaro writes around the blue or purple hair catastrophe. When kid Trunks checks the time machine, Bluma asks if there is someone in there with his hairstyle. No mention of color.
In the anime version of events Karin & Yajirobe were passing time doing limbo, but in the manga they're playing Twister. Goku asks if the game is fun, just like in the anime. Karin says not with two guys...
In the manga, when Trunks reveals the new threat is Son Goku (Black), he mentions that Black said he'd wipe out all Earthlings for the sake of justice. And that he has PROBABLY destroyed several worlds and their inhabitants already, technically meaning Earth could've been the only target. (Doubtful, but still.)
Trunks mentions Future Bluma decided to call him Goku Black to avoid confusion with the real Goku. The present Bluma complains about her future self's taste in naming. Beerus doesn't "get" English...
The time machine's fuel is Blue Electric Liquid #15.
Here, unlike the anime, Dr. Brief apparently never helped Bluma with the time machine Cell used. He comments "So this is a time machine." I wonder if Trunks even gave Bluma Cell's time machine, or if they won't even bother with the destruction plot point? We'll find out later, I guess.
Goku and Trunks transform to SS2 for their spar. Whis thinks Trunks has the edge on Goku as the fight unfolds. Goku is impressed Trunks is better than Gohan from "that time" (presumably Cell Games). Trunks says he trained hard for the last 10+ years, but is excited when Goku vows to show him what comes next. Trunks has no idea about SS3, but says he wasn't happy with SS2 either. He powers up to be on par with SS3 Goku...while in SS2. So I guess all of Trunks' forms are ~4x stronger than everyone else?
You can't see it, but when Goku kicks Trunks in the back of the neck and knocks him out...notice the sparkles. Goku went Super Saiyan God. Beerus and Whis call him out on being immature for that.
Trunks is STRONG, but isn't a match for Black. Goku expected to beat him easily, but thinks this might actually be dangerous now. Goku asks if Beerus & Whis want to come with them to the future, to help out if they end up in a pinch. Beerus wants nothing to do with it. He doesn't care about another Earth, and using the time machine is a crime anyway. However, he does wonder why the Hakaishin left Black alone though. Whis doesn't think Beerus and Black are that different in terms of destruction. This pisses Beerus off. Beerus feels Black is destroying whatever he wants without considering the balance of the universe. Whis chuckles
Trunks still has no idea what a Hakaishin is, despite asking who Beerus and Whis were earlier. Beerus wonders if Trunks' Hakaishin is still asleep. Whis assumes differently and asks what happened to Kaioshin after defeating Dabra. Trunks reveals the god perished in the fight. Beerus panics. Why did that weakling Kaioshin get involved?! Goku wonders what's wrong. Does Beerus have an unexpected soft spot for the Kaioshin? Whis chuckles again. "The Kaioshin and Hakaishin come as a set. If the Kaioshin die, so does the Hakaishin. It's that kind of relationship. The Hakaishin of Trunks' world likely no longer exists."
..........better be a damn good reason Goku takes that L 
. Piccolo better have a new form or type of power to suddenly take on Good Golden Frieza
Plus their still pushing the whole they don't work together stuff
), then Beerus is dead in Trunks' timeline too? 