Whether or not the entire plan was engineered by Palpatine was not answered in the episode, so even if these questions are applicable they're also unanswerable, but we don't know for sure if they are applicable. I personally feel it is more likely that he did an indirectly manipulative move like how he got Mace Windu to attempt to assassinate him where he just set a few little wheels in motion and let the plot unfold, rather than a more directly manipulative move like he did when he first got the Trade Federation to invade Naboo and delayed the Senate with parliamentary procedures. I highly he doubt he personally orchestrated The Box scenario, and Moralo Eval takes credit for the plan to capture the Chancellor in this episode (with Cad Bane admitting that it was Eval's plan, but trying to take credit for its execution). The plan was for all the bounty hunters to rendezvous after they captured Palpatine and Count Dooku was supposed to meet them. They didn't know exactly what was coming next, they were relying on the Count and he never showed. It was later implied that he didn't show because he was spying on Obi-Wan and knew he was in disguise. There was never a decoy, get-captured-on-purpose plan. Getting back to Palpatine's role, I think it's entirely possible he just made the best of the scenario he was presented with by Eval and the Jedi Council.