No matter what, call Sony and talk to them. Wihtout cats or kids, and only 3 weeks old, it may simply be a bad screen.
They can only say no, and who knows, they may replace it.
Normally, I do NOT buy extended warranties on electronics, they eiteh rwork or don't, but purchasing directly from Sony in the US, I had th eoption of buying an extended warranty that also covers accidental damage. I figured with my travel schedule, that it was a cheap price to pay.
