I haven't filed my taxes for for 3 years. Can I leave the country having a permanent Green Card

The IRS will deal with this situation, not immigration authorities.

Permanent residency application.

You should have the mistaken information corrected before any applications are filed.

Yes, but you should have a management company handling the rental, including collecting rent and doing any other work required.

I got fire because my green card expired but I was already in the process of becoming a us citizen. Is this legal? What can I do

Your question does not involve immigration issues.

You change address whenever you move. If you move before your trip, you do it then. If not, you wait until you return.

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What immagration application could I apply for in other to become a police?

There is no immigration application to join the police. There may be a requirement that a candidate be a permanent resident or a citizen in which...

K1 visa redused under 212(a)(5)(A)

No question asked but the K-1 was correctly denied if the petitioner was till married to another person.

Chances of denial of new PERM while existing PERM is with BALCA

Each application will be evaluated on its merits and the fact itself that one is denied should have no effect on the second one, except for,...

Filling out ds-260 online. Wife in Taiwan. When do we get the medical exam and vaccination records, right now or later? Thx

You need to wait for NVC instructions for specific information.

Am I suppose to carry my passport with me at all times in Canada?

You need to ask this question to Canadian authorities.