Travel with conditional green card

Your husband should make sure that he has a valid green card, passport valid for at least 6 months and is not inadmissible to the US (e.g. criminal...

Can i apply for an E1-B visa if i have an approved I-130 for marriage based Green Card?

You could, but it may be easier for you to get a co-sponsor for the affidavit of support and proceed using your spouse's petition.

I’m a little confused should I refile my form again or is this a total rejection for my work permit renewal

The application was not rejected. Check the status using the receipt number at www.uscis.gov.

Which service center should I follow up with?

You must notify CIS of your change of address and make a formal request for file transfer.

I receive a notice of intent to terminate conditional residence, The notice specifically highlight the discrepancies a interview

You have only 30 days in which to file a Rebuttal to the NOIT. If CR Status is terminated, you will referred to Removal Proceedings. Consult with...

What if I change my job while I am sponsoring my husband for spouse visa?

You may need a co-sponsor for the affidavit of support.

I am on an EAD (based on pending 485). Can I apply for an EAD for my spouse as well? At this moment she is on H4 status.

If your spouse has a pending I-485 as a derivative beneficiary, she may also file an I-765.

Any options to stay back in USA if H1 transfer is denied after 60 days grace period,(spouse on H4)

You may have to seek a new I-129H Petition and Consular process after an approval in order to be readmitted in valid H-1B/H-4 status.

N-400 pending, 3 years continuous residence prior to filing, now studying overseas for almost 8 months, would my case be denied?

Yes, the departure from the US of 8 months would give rise to a rebuttable presumption that you have broken the period of continuous residence...

Your STEM EAD renewal should be fine with the current passport.