No I can not see us pumping BTC that much. Just to reach $3000 we would need another $23 billion moving into BTC right now.
To reach your numbers of $10k for instance there is much more money needed, probably by institutional investors. With an ETF this might be possible. But without I can not see this happening after halving in 2020.
uh, no. to get to $3000 would probably require 100-200 million max. 23 billion dollars of direct expenditure dropped into the market now would probably push it far over $15,000.
Big amount of coins is in cold storage and won't see the market.