If rights do not exist without government how do you explain the fact that they are still used even when there is no government?
They aren't. It is an unproven assertion on your part.
Recall Hobbes' formulation of man's existence in a state of nature.
When there is no government people suddenly lose the ability to live? How does that work, exactly, because all of our rights exist because, despite the claims of totalitarian governments, everyone is born without direct intervention of the government. Then we have the ability to think, from which our freedom of speech and religion come from. I have seen absolutely no evidence that would even begin to support the claim that, without government, no one can think.
You seem to have trouble separating your ideas from other people's. Why I don't know. Who suggested in the absence of gov't people couldn't live?
An ability to think does not imply any kind of right to think, much less speak or practice religion.