The next painful jab is likely to be in you, not in the little prince. As for the vet visit, you can always get him sedated, as I know.
It really is early days still and he is obv a bit thrown having been thoroughly freaked by Badhome. Now he is at Besthome and he must be slowly realising that. And he's not nuts, he's just all over the place so he will realise it.
The tray thing is v annoying. Mind you Mr C scuttles out for a really relaxing massive pee the moment anything new arrives on the balcony.Tail shuddering, eyes closed in bliss, SW4 flooded. Instant plant death.
Except, funnily enough, the rosemary. Tip: skip the crusted lamb if you ever visit.
As for the bed thing, I would enjoy the peace while you can. Newboy may be a youthful sleeper ie fidgety. Plus he will try it on for midnight meals, 3am snack, etc, not to mention the classic snatch 'n' spin divet trick.