If you do not intend to rooting, or rooting and flashing costum rom to just fix the problems, i'm just advice you to visited samsung care again. if it still in warranty, and they can't fix it, they could replacing it. when you do rooting, you lost your warranty.
also with rooting etc, you'll get more headache, and didn't guarantee fixing the issue. because it might be hardware problems.
just quote me if you choose try to root, i'll give you the links that specified instruction for rooting
Samsung galaxy tab 2 p3100