I would like to know wether they will catch me and reject my visa ? and how much is the possibility to get a visa in such a case

At least one of the questions on the DS160, when applying for a visa inquires about a criminal history. It is advisable to first handle the...

What is my best plan of action?

I agree with the previous answer from Attorney McGowan. You are the responsible party; however, there may be an option for a payment plan.

Can I video tape a car coming through a construction site?

It is not illegal under the law; however, it may be a violation of your employer's policies.

If you missed a probation review but notified the court and the result on the data base says held, could there be a warrant?

Possibly. Best to discuss with your probation officer.

What can I do if I feel like I did not have fair right to a trial? A traffic ticket trial in which no got the ticket 3yrs ago?

You could have chosen not to enter a plea and been scheduled for trial.

You can only travel if your I-120 is not terminated.

How long and how much is it/would it take, to be a resident ?

Consider a consultation with an experienced immigration attorney who can properly review your case.

Can I stay lawfully in the USA as I-130 got approved?

Typically, you can stay in the U.S. while your form I-485 application is pending. Consider a consultation with an experienced immigration attorney...

H4 DS160 filling help- currently employed in India, what to mention in occupation, employment details?

There's no requirement to quit your job prior to applying for an H visa.

Hope you were able to explain your situation to the prosecutor or judge.