Not sure what forms to file for sponsorship.

I agree with my colleagues and would only add that you should seriously consider hiring an immigration attorney. Better safe than sorry as...

Immigration

You need to go to an immigration attorney immediately if you have not yet found out about the immigration consequences of your theft conviction as...

How do I withdraw the sponsorship I filed for my spouse immigration application?

I would advise you to not act in haste as what you propose to do will have severe consequences on a person you at one point loved. That being said,...

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Will Leaving scene of accident influence on immigration case ?

Yes, a misdemeanor is a criminal charge. You should hire an immigration attorney directly to explore consequences on your immigration issues.

Will negligible driving have influence on immigration process ?

No, it shouldn't have. If you are ever asked about traffic issues, you should disclose it, but it sounds like a minor issue.

Will negligent driving have influence on immigration process ?

It sounds as if you merely have a traffic ticket since there was no arrest, which should not affect your immigration issues.

You can write a letter to USCIS with any evidence you may have. It is up to them whether or not they follow up on it.

For Syrian asylee in US, is it possible to bring his wife and kids urgently from Syria if they are under serious risk?

Discuss directly with an immigration attorney. One option may be - depending on the step your asylum application is in - to add them as derivatives...

Processing time for motion to reopen/reconsider

Impossible to tell from the facts provided. Work directly with your immigration attorney.

Can I travel to Israel with deferred action with members of my church ?

Yes as this could be considered an educational reason for travel.