I saw dozens (or probably a couple of dozen and heard many more general horror stories) of the older 5 series 60-70cc class saws with complete engine failures and many long faces associated with same. Most of these were basically brand new saws with only a few run hours. JFTR without all the BS, the industry in which I mainly work employs hundreds of saw hands, sometimes a hundred on one job. During the course of the last about 10 years or at the advent of the silver and orange version of the whenever it happened Husky mistake the entire industry has changed over to Stihl. Guys still want to run their Huskys cause they run so nice when they run, but at least 9 out of 10 or more are still afraid of them, as they were a nightmare for the pro hand looking for a versatile-sized saw (60-80cc).
bad crank bearings, bad cranks, seized pistons. Just basically locked up stuff.
I could be wrong, but a 2011 saw could have potential for many issues. There are probably fixes for all of them and that's what the Op needs to figure out. He doesn't need to just "run it wide open till it fixes itself".
4 winters ago a father and son team of slashers had just bought 3 new 562-576's (can't remember how many of each). All of those saws did not last 2 weeks. A couple did not last 3 days. This was not unusual for those saws.
They have known issues and anybody that says different hasn't been paying attention.
I had a guy on a job this past winter (who normally runs a mulcher but goes back to a saw from time to time) who bought a new 562 because, like most, he prefers the way a husky feels (snappy, revvy, flippy) over a stihl (which are the only two brands you see in western Canada forestry other than an occasional Dolmar). He looked at me and I looked at him and we hefted the saw thinking "I hope this one hangs together". Pro saw hands in Western Canada are skeptical of Huskys now. Period.
I only bring this up because many men with many saws lost many monies trying to run Husky. I feel for them. It always costs money even with warranty (if they indeed are covered and many weren't) when you need your saw NOW to make your living.
I haven't seen the Huskys really coming back yet to an industry where they were 98 out of a hundred saws just a few short years ago.
Anyway, that's how lots of guys see it around these parts...
