Depends on the virus: https://en.wikipedia.org/wiki/Endogenous_retrovirus
> Is that lump of physical matter conscious or not?
Depends on the lump. The only lump of physical matter that I know with 100% certainty is conscious is me. But my consciousness produces behavior in me that is similar to behavior I observe in other lumps of physical matter. Furthermore, there's a lot of evidence that my consciousness is somehow bound to a particular physical structure, namely, my brain. So it seems reasonable to suppose that other lumps of physical matter that have brains and exhibit the kinds of behavior that I associate with my own consciousness also possess consciousness, and that lumps of physical matter that lack these things don't.
No. ERVs are part of your genome.
It looks like think something that is part of your genome is part of "you" - I won't argue that it isn't, it certainly is from one point of view. I don't plan to have children, so I have a different perspective on things.
A virus RNA in nucleus of neurons in your brain is part of you or not? Is that alive or not? Conscious or not?
The same way as an idea of a point particle breaks down in quantum physics, the idea of binary "you" and "not you" breaks down due to nature of reality.