Sweet.
I'd be interested in seeing this play out. Lobo though? Seems an odd place for the Main Man. Of course, that's sorta become his thing lately.
As for Roy.....I have an idea of what I'd do with him, but it's mostly just stealing stuff from various places and mixing it together.
Roy's personality and capabilities would be stolen from Winnick's Outsiders. Roy's still something of a screw up and things rarely go the way he planned. He's gotta work twice as hard as other heroes; he's like the Scottie Pippen to Grayson's Michael Jordan.
Roy works for Argus (or possibly Checkmate, if that group is in a good place). He's got a kid to take care of, and pro bono hero work doesn't pay the bills. With Argus, he has health insurance, vacations, and a 401K.
He lives in a nice suburban home with his daughter Lian, his ex-wife Cheshire, and Jade's younger sister Artemis. Jade is trying to go straight for Lian's sake, but it's not who she is. Roy is trying to help her get over her "addiction" while also keeping her off Argus' radar. Artemis is stuck in the middle. I'm basically stealing from the Young Justice cartoon as well as the Brad Pitt/Jolie movie The Smiths, and a little bit of Tom King's Vision series. It'd just be a weird clash of sensibilities; superhero spies and assassins set against this mundane suburb setting.
When he's not working with Argus, Roy helps out troubled kids. I'm stealing this from Lee Stone. Sometimes, Artemis helps him out on this pro bono superhero work as Tigress.
Roy goes by Arsenal, and uses a wide range of weapons. I think we might even go with the weaponized metal arm from the Young Justice cartoon. It's over the top, but I like how that ridiculous 90's-esque vibe will rub up against the suburbanite elements.