I assume that also means that you didn't see the problem during delivery.
6 months is long enough for Tesla to disclaim any responsibility under warranty.
Other OEMs would stand behind their product and interior/exterior quality, but Tesla will not. You are welcome to find that out for yourself.
Not likely. The spots are far too big to be tree sap or bird poop. Unless you still have pterodactyls flying in your neck of the woods.
Just in case, have it professionally polished (google for services in your area). If it's something on the surface of the clear-coast, it will get polished out.
If it's clear-coast delaminating from the underlying paint layer, then it's a manufacturing defect.
See above about Tesla's most likely response.
Good luck,
a