While I do reject realism, I disagree with all three claims.
“the Universe sprang into existence last Thursday”
I have memories from before last Thursday; therefore, this claim would contradict what currently seems to be true. That's the best I can do. If you're a physicalist, you cannot deny this claim with certainty either: if electrical activity in the brain is truly the substrate of consciousness, then you have to admit to the possibility that you could be a brain in a vat, hooked up to some kind of world simulator.
“I am the only entity that exists”
That would imply that I'm God. And I'm pretty sure I'm not God. Therefore, other conscious entities must exist.
“Jupiter doesn’t actually exists, it merely appears to exist.”
To be is to be perceived, in my view. I don't think there's a meaningful distinction between the two.