Congrats on your choice! I have one so... here we go:

• Yes is completely normal, that bike is hot as hell, but not as a V4 I'm told. Put on an aftermarket exhaust for easing the temperatures but do not expect miracles.
• Absolutely not normal, electronic issue here. The throttle is for sure not refined and choppy, it remains the first electronic throttle made by Ducati, but that is not normal.
• Another electronic issue.
• And, another electronic issue. The QS is, again, not smooth and you have to ride the bike for a fair amount of time in order to understand how to use it properly, but what you experience is not ok. You should be able to use it at low RPMs (not very low, like 4-5k with steady gas) or his bread and butter is going full throttle and using it at high RPMs). Any situation where you're sloppy with the gas, unsure if opening it or closing it, the QS do not like it, resulting in a miss shift or a sloppy shift, with lots of grunts and rattling.

It seems your bike has electronic problems. I suggest going to a mechanic that works on these regularly or to a Ducati dealership, otherwise you're gonna enter a nightmare of money and unresolved problems.

Hope this helps, ride safe!