No, you do not need to disclose any traffic violations unless you were arrested for DUI or reckless driving. Accident is not a crime.

What can I do now, while still being out of the country?

You do not have an "overstay" after 6 months, what happens is that you simply break the "continuous presence" counted towards your naturalization....

What does it indicate when the VO says , "USCIS still thinks that you are a student," during H1B visa interview ?

This is a rather bizarre occurrence, I have not heard of that one before. Considering that you have been on H-1B since 2016, can you provide them...

You My h1b got approved in 2013 oct when I was in india and after 1 year I got stamping from india for 2 years validity visa?

Yes, you can count the time you spent out (not working or on business trips) and request an extension for that period of time.

Does spouse &kid passport no.is required to fill out I 130 form.?

You can send your spouse's passport and only birth certificates for your children.

How long uscis take to send rfe to lawyer and after receiving back all documents then how long they take to approve my h1b cap ?

You may not receive an RFE at all. If the case is filed through Premium Processing then the RFE should arrive within 15 days, after receiving the...

I have being in line for Oath Ceremony for more than 3months now, is there anything I can do to expedite the process?

There is not much you can do, unfortunately. They are dealing with huge number of people and patience is a virtue when it comes to dealing with...

Does the sponsor have to reside in the country permanently and continue to work.

No, absolutely not. A sponsor may perfectly meet the requirements under I-864 with their cash or RE assets.

Interview for form I-458

If she does not need to work, or if she does not need to drive a car (because the DMV matches the DLs to the immigration documents), then she does...

Can the dependent spouse who is on H4 visa stay in USA when H1B visa holder goes on Business trip to India for 3 weeks

Yes, you can if you are sent to India by your company on a business trip.