Hi and welcome to BB!
Just after a neuter a rabbit can actually get extra hormonal. This is normal and has to do with the way the body tries to adjust to the sudden disruption of male sex hormones. For most male buns this phase lasts about 2 weeks post neuter, but everything up to 8 weeks is considered normal.
If you could have litterboxes in the room(s) where he is roaming you could put him in that immediately when you see him pee on the floor. It needs to be very quick so he connects peeing with the box. (Bringing him back to the cage could take too long time for him to make the connection. It should also not be a punishment, he hasn’t technically done anything to be punished for. Punishment is not an effective way to train rabbits because it primarily teaches them to avoid the human).
It’s very reasonable he circles your daughter because she smells like Bean. Having another rabbit in a household complicates litter training, becaue the presence of another bun calls for pee- and poop marking (instinctive, not by choice). Rabbits have a very, very keen sense of smell so hiding the presence of another bun is pretty much impossible.