would NASA know of comet/asteroid by now?

You mean the one that's supposed to hit us next week? Since there is no asteroid/comet/rogue planet heading out way, there is nothing to be aware off.

On a different note, where is the notion that NASA is some kind of World Ministry of Space comes from? NASA coordinates civilian space research in the US and occasionally partners with other countries' space agencies and private companies. Some, but not all of NASA activities have to do with astronomy, but most of astronomy research, including discovering new asteroids and comets takes place at nation's universities, without NASA's involvement.

NASA know about thousands of comets and asteroids.

All Near Earth Asteroids are being Tracked. Comets are too small to worry about.

see the chart: www.spaceweather.com

Yes, they are well aware of both comets and asteroids at this time.

Yes nasa looks for asteroids and do they see anything nope

Yes, so would the thousands of astronomers around the world that spend their nights searching the skies for just this very thing.

They are aware of many asteroids and many comets. Thanks for asking.

It depends on how far away it is but normally yes

ok