Yes on all counts. It's all part of the Q trial. Q did it by moving Picard through time (& not telling him he was going to do it, meaning Picard was unprepared. Kind of unfair imho) So Picard makes the fatal flaw of converging the beams (Even though Data suggested the beam in 2 of the time periods) It's Picard who initiates them all, in the same place, at different times.
This goes back to Hide & Q and what the Q trial is REALLY about, (Even though it's claimed to be about defending themselves on the charge of being a barbarous race) It's really about the fact that the Q are concerned that Humanity (& their morality) will evolve to the level of Q some day (Thus maybe ruining their less moral party/monopoly on the universe)
The Q are testing humans on whether they are going to be bothersome some day. That's why the tests are always "You aren't prepared for what awaits you" The Borg, the tapestry of Picard's life, having Q powers, living outside of time etc... It all goes back to this exchange...It is. So they set them up all the time, with stuff that puts them outside their scope of understanding. Just because Q did it in All Good Things..., doesn't mean that it wouldn't have happened some day, on its own anyway. Just like Picard said Q did them a service by waking them up to the reality of the Borg, Q is doing him a service here, in realizing what it means to live outside of time, before they stumble on it naturally, (Kind of like Wesley does) or how Q did him a service in realizing not to pull the strings on the tapestry of his own life etc...
"The trial never ends." As long as humanity is marching ever closer to the omnipotence enjoyed by the Q, the Q will be keeping a close eye on it. That's why I kind of like the Wesley/Traveler story arc. It's the one example in the series of Humanity evolving into the kind of powers that the Q hold dominion over. So there is a canonical precedent on the show that they should be concerned. It's already happening