What is the best way and place to get relocated and working in USA (H1B or H2 visa, CA or NJ or FL..)?

You should not self petition for an H1b, but rather you should find an employer. There is no difference which state your job is in. I do not see...

If my I-751 waiver application is denied, will I be given a chance to voluntarily leave the country or do I have to see the IJ?

The denial will offer let you request to renew the claim in front of a judge.

Am I subject for deportation?

If you are a permanent resident [and therefore do not need an employment authorization document], and you were charged with a crime, and the...

I am not aware of any such rule.

If a landlord sue me, can it affect the issuance of my future Visas ? What will be the consequences in terms of immigration ?

There are no immigration consequences simply for being in a legal dispute.

Can I apply for citizenship even though I am unemployed?

Yes, as long as you are not a public charge.

Can i apply for naturalization if i stay first 2.5 years of 5 years inside USA and rest of it outside of USA with a good reason?

If you leave for over six months you will break the continuity of your residence for citizenship purposes.

Can I apply for citizenship even though I am unemployed?

Yes, as long as you are not a public charge.

How many times can you file a motion on a denied I751 case?

There is no number limit. Motions to reopen are for new evidence, and motions to reconsider are for errors of law. Moreover, if the evidence is...

My green card has been expired for 3 years. Will I have to pay additional fees to renew it? Can I apply for citizenship?

An immigration attorney is needed to review the criminal records.