Errors
10 Asgardia mirrors the Earth, but it does not reflect the Earth boarders. At the same time, in the framework of earthly law every Asgardian can freely live within the borders of any earthly country.
Borders, not boarders. I expect we would be reflecting boarders only if hostile. ;)
Clarifications
3 Any citizen of Earth can become a citizen of Asgardia, if he concurs with this Declaration, accepts the Future Constitution and legislation of Asgardia.
Ok, so this leads me to believe that the 'space nation' part of Asgardia is not for everyone. According to this statement, anyone can be an Asgardian, but the whole 'living in space' part would be limited, because there is no way in hell we could fit 8 billion people in space if everyone signed up.
This statement means Asgardia is more of a declaration of principle and intent. The closest analogy I can think of is something like Starfleet, from Star Trek, but still having nations on Earth.
4 All citizens of Asgardia are equal, regardless of their country of origin, residence, citizenship, race, nation, gender, language, or financial standing.
Should be reworded as "All citizens of Asgardia are equal in the eyes of the law." No need to go into detail. This removes all labels from the legal process and just treats individuals as individuals.
9 Asgardia does not engage in politics, there is no place for political parties in Asgardia. But every Asgardian can freely participate in political life on Earth.
Political parties are a form of both free speech and political assembly. While I dislike political parties in principle, I understand that restricting them would also restrict both free speech and assembly. This point would need to be heavily clarified to explain how it doesn't infringe on both of these generally considered universal freedoms.
11 Asgardia is a country of free spirit, science and internationalism. At the same time, every Asgardian can freely practice any religion on Earth.
Do not limit the religions to Earth. If this nation is to persist for hundreds of years, it should be presumed that religions will originate from other places than Earth. As such, just remove the last two words here.
Also, because religions can be created, a clarification should also be made that individual liberties trump religious liberties, to prevent individuals from saying that their religion requires everyone in their vision to wear red and have that be enforceable in any fashion.
12 There is no place for Earth history in Asgardia. Asgardia creates a new history of the future of the humankind.
WTF? What does this mean? Does this mean we wouldn't be studying Earth's history in schools? It is a symbolism thing?