Can I go out of Status after filing I-485 based on LPR marriage?

Yes, you would not become ineligible for adjustment of status, as long as you were maintaining H-1B status at the time you filed for Adjustment of...

Is there anyway to check on the info & without Jeopardize him living here?

You can try and file a FOIA request, however, without any document linked to an immigration file, there may not be any responsive documentation.

Please answer it

You will be scheduled for an interview regarding the N-336 Appeal next.

Can I reenter the USA on a new i20 and Sevis record?

The school may issue an I-20, but that alone cannot help you overcome the prior deportation.

You should address this question to a CPA or Tax Attorney.

Can green card holder returne to US after long time no show?

They would need to either seek an SB-1 returning Resident Visa or begin the process for a new immigrant visa.

The school's DSO has almost exclusive control over CPT requirements.

The Visa does not control whether you are maintaining status. If USCIS issues a notice of revocation then you are accruing "unlawful presence" in...

Was the Form I-877 used back in 2005?

You can contact the CBP directly and try to obtain that document and related information. See the link below.

NBC is National Benefits Center and there is a link to its processing times on the USCIS website.