1. you have a fault, it should stay on one display until to click the button to make it change.
2. a few people have reported handling issues with little millage, again take it to the dealer and have them check it. I hated the oem Trailwing tyres and when I changed to different brand it sorted the 60mph+ wobble and vibes through the bars. Strange though as I now have pretty much full knobbly on the the front and both hands off the bars and she goes straight and true.
3. if you gave it a tiny blip it can sometimes dump fuel in but doesn't open the throttle butterflies, starving the engine of oxygen for the amount of fuel and engine speed. I've stalled the bike a few times giving it tiny blips and with my Deauville and even on the old CX500, and it's a common 'issue' for new owners on the Deauville forum. if it was at higher revs take it to the dealers. there are a few threads going atm where slight fueling issues after dealer service are driving owners nuts and Suzuki are aware of at least one of their own bikes have the same issues as described in the other threads.