And I thought my left mirror is a crap (Aprilia Tuono) and almost ordered new pair. Now I see you have the same issue so I guess I won't be ordering new mirrors. Strange, isn't it? Same setup on our bikes and the same vibration on left mirror.
As for the gear shifting, it hapens to me from time to time, like once or twice a month (I ride it every single day). I guess it's not a problem, it just has its own will. I once just couldn't find any gear and dash was showing "--". I released the cluch half way only and heard "clonk" from the gear box and it was fine after. Go figure...
As for the handlebars, try to change the angle. Undo the bolts a bit and bring the bars just an inch or less closer to you. See if it works. If not, try to push them further away from you and see. When I got my Glee I had to readjust the bars, levers position, gearshift position, foot brake position... It's been many years of riding and I know well my most comfortable position for every single bit.
2017 DL1000 White
2014 DL1000 Red (sold)
2012 DL650 White (sold)