Nope - officers in hot pursuit don’t have to wait for papers under exigent circumstances. If they chase a killer into your neighborhood, they won’t wait for papers, they continue the chase with ‘the paper’ deemed as written and delivered.
Not if the Governor approved it as you claim to have read. The officers would need evidence that the Governor approved it — not just internet rumor, and so would the residents.
If you can convince people that you have the law on your side, you will have done exceptionally grave damage to the Constitution of the United States. Exigent circumstances have always in the past been very narrowly defined and limited to a single home, address, building, or structure. That did not apply in this case, and the general search was yet another of the many governmental overreaches that have created the situations that the courts have used to define that line that may not be crossed.