I've had this problem several times. Previously I had a charging issue, under warranty the mainboard was replaced. A long while after that the problems with scrambled screen and loud noises started. I then disconnected the battery, and reconnected it, and the problem went away for a long time. But it has returned and even returning more often.
So I ordered a replacement battery via ebay (straight from China), and yesterday I finally found some time to replace it. First thing I noticed the tablet is more responsive, snappier.. It hasn't discharged enough to reproduce the problem, but I had trouble lately with updating apps when it wasn't on the powersupply, which convinced me it was a faulty battery. Now it's updating without charger no problem at all.