Funny you mention that, my S4R did EXACTLY the same things.
Stalling - happened to me at low revs. Coming to a stop, holding in clutch, go to neutral and.....dead. I was concerned at first, it all happened in the first 500km and hasn't happened since. I now have 4,050km on the bike in 6 weeks. No problems at all.
Oil light - same thing for me. Mine was coming on all the time when riding. I'd tip the bike up and check the oil, plenty in there. I did the 1,000km service (includes oil change) and the oil light hasn't come back on after 3,050kms of riding.
So from my point what you are experiencing is the same as me. Don't worry, it will all go away the more you ride the bike.
Ducati dealers suck with doing deals. I only managed to score the 1,000km service and a cap for my wife for free. Although i got $2k off RRP (bike was on sale) i still had to pay full price for the termi's which was $3k LOL. If you want to play they make you pay. Pricks!
You MUST get the Termi's on. It's not riding unless you have a bloody loud exhaust. Mine sounds like a 1098S, gotta love the dry clutch rattle to!