If Channel 4 did get criticism for their children's schedule it was most definitely undeserved. Kids would've wanted something to watch on a Saturday morning, and they most likely didn't want to watch a coffin or crowds of people crying. And the tone of the continuity was pretty spot on for the mood of the day.
Yes, although there had been umpteen examples before that day of there being no kids' shows on any channel of a morning anyway, most obviously on many Sunday mornings up until the mid-nineties. For ages I had Right to Reply from the following week on an old tape, which was quite interesting as they interviewed Martyn Lewis, Dermot Murnaghan and many others, but then it was followed by someone in the studio complaining C4 didn't show the funeral because they wanted "the Channel Four perspective" on it. How many "perspectives" can you have on a funeral?
It was pretty common (up until about 2005 / 2006) for ITV to delay coverage of Qualiying for Far East (until lunchtime or even after prime time) or North American races (until after prime time). I don't think they ever didn't show a Far East race live, but they did move the 2000 US Grand Prix to ITV 2 - which at the time was about the same as not showing it live at all. (It was shown in full at about 10 or 10:30pm on ITV.)
There was also a period in 1999 when there was some sort of dispute between ITV and F1 and they weren't able to show qualifying live for a couple of races - seemingly nobody could agree on what the contract actually said and what ITV were paying for - and they showed them later in the afternoon instead. As you say, in 2000 they showed the US Grand Prix on ITV2 and then in full later on ITV. I remember the highlights were then shown at 4am, which seemed a bit pointless. It seemed they were happy enough to show the Canadian race - for many years they only one anywhere near primetime - which went on until about 8pm, but any later than that was too much of an interruption to the much-cherished Sunday night line-up. But they did start showing it on ITV from the following year (which it was obviously a major news story as well, just after 9/11).
There were certainly new editions published in London and they were very late arriving in the paper shops
The new editions were just updated front couple of pages, the rest of the paper was the same as before. All a bit embarrassing for some papers where her death was splashed over the front page but columnists slagged her off a few pages later.
Yes, I remember for many years I had the "4am SHOCK ISSUE" of the News of the World with "DIANA DEAD" as the headline, but only the first three pages had been altered. I seem to recall that was the only paper where we were that featured it.