I-824 deadline?

Not enough information here. If you were married to her at the time your I-485 was approved, you should file the I-824 ASAP. If you were not...

Should I ask a new DS-2019 form if it expires before an interview date? I'm scheduling for US Visa J-1.

That date is for government use only. It does not affect the validity of your DS-2019.

Is it possible to change the Visa status from H1B(not stamped) to a valid previous H4 by leaving the country and re-entering?

Yes, that would work provided your H-4 visa stamp is still valid.

Will a lawful permanent resident who's a drug addict be able to re-enter the US after being deported for felony drug possession?

Probably not.

How long i have to wait to marry again with another inmigrant?

You can marry as soon as your divorce is final. If your marry her abroad, she WILL NOT be able to enter the US with a tourist visa.

To marry or not to marry? Which way do I have a better chance of getting a visa approved for undocumented Mexican?

First, unless you are an employer, you would not be able to petition him without being married. Second, the fact that he entered illegally and...

Needing to meet to fulfill requirements of k-1 visa what if I go to the philippines and then decide to marry girlfriend there

If you marry in the Philippines, then she no longer qualifies for a K-1 and cannot use a K-1 to enter the US. You would then have to file an I-130....

Cancellation of removal eligibility

They need a qualifying relative that will suffer the hardship. It is not enough to simply be in the US for 10 years. You should retain an...

Quite simply, he will not be able to get the green card in the US unless he qualifies for 245(i). That means that he will have to process for an...

Can an undocumented Alien who was deported over 10 years ago get a tourist visa to go to the USA?

He needs to disclose the arrest where the form asks for it. The fact that he was previously apprehended is just one factor that the US...