Per this link:
http://www.injusticeinperugia.org/timeline-2.html
the Perugia crime lab found activity on RS' computer at 9:46 pm. I'm sure you won't like that site, but it's not the only place that time has been reported. If you have a source to refute the 9:46 pm time, it's your turn to produce it.
We know there was an inexcusable delay in taking the temperature of the body, which allows both sides to play with the TOD. The prosecution wants it later, so that RS and AK have plenty of time to meet up with RG and plan their prank/murder/whatever. The defense prefers earlier times because computer records indicate AK and RS were otherwise occupied.
We know MK's cell phones had been discarded by shortly after midnight.
If the TOD is 11:30 (as the prosecution would prefer), then we have to believe MK spent 2 and a half hours at home without ever removing her jacket. Not impossible, but also not likely.
We also have to believe the aborted phone activity shortly after 10 pm was MK "playing with her phone." Again, not impossible, but, again, not likely. I am of an older generation to whom cell phones are new miracle gadgets, but even I don't sit and "play" with my phone. I seriously doubt someone of MK's age would play with her phone in a way that would cause it to make calls.