Answer the questions honestly and accurately. This should not be fatal to your current application. .

A 10 year Green Card? Yes this is possible. The card expires and needs to be renewed but the status, as a permanent resident, does not expire.

Your wife may apply for a B2 (tourist) visa to visit the US. She will have to prove that she does not intend to remain in the US and this will be...

Since your husband has been an LPR for over 5 years, he should apply under the 5 year rule. .

Retain an attorney to review the case and to file a case inquiry. This may be done remotely. .

Under the facts stated, there are no grounds as which would warrant filing a protestation with USCIS.

A rejection is not a denial. Whether or not this an issue depends on the specific facts of your case.

No, given the facts as stated, you should not lose your status should a divorce occur. ...

You may request a new interview date. If granted, the new date could be several months from the initial date. Good luck and happy travels.

Work with an attorney to review the reason for the denial. That attorney will advise as to next steps. This may be done remotely.