Scotland

That's much less clear, that would likely be sorted out after an independence referendum. Crown assets will almost certainly be divided in the same way as all other government property, however that ends up playing out. In my opinion it's more likely than not that the monarchy would still be recognised to some degree. Anecdotally there's far fewer royalists in Scotland than England so there's also a reasonable chance they're scrapped. There's a notable portion on the population who see the monarchy as parasites using taxpayer funds to live lavishly, it's difficult to argue against that.