Hearings in Immigration Court are either master or individual. The master hearings are to check status of case, etc. The individual hearing is the time at which the Judge will hear the merits of your case. You can be represented at the hearing at your expense but given the issues you are raising you should invest in legal representation.
She would need to file an I-130. You should seek legal advice on whether her daughter is a US citizen through her mom. This way her husband would be the only one need to become a lawful permanent resident.
Your question is an immigration/family law crossover. Your facts indicate that you were married for at least ten years and this would mean it was a marriage of long duration and you waiver spousal support in the judgment(divorce papers).
As to the immigration question: your husband signed an I-864 Affidavit of Support as the Petitioner and he is financially liable until you become a citizen or earn 40 qualifying quarters of work in the United States which is generally 10 years. Divorce does...
It seems that your request is relevant to the issue of support and your wife's ability to earn wages. There are procedures to follow prior to filing the motion to compel it is unclear from the facts if you have completed them. You can retain limited scope representation/ consulting from family law attorneys to explain the requirements and/or help you with the motion to compel.
You need to file a request for order and indicate the reasons why the court should give you exclusive use and possession of the home. It is unclear if you have filed for default. You should consult with an attorney as to the possible consequences of filing for this request.
There could be other documents to prove your presence in 2010 such as medical records, school records, etc. It is unclear as to what document you provided that was deemed insufficient. There are no appeals to a denial so you should seek legal advice in preparing the repos as to the RFE.
Your local court should have a list of pro bono providers. You should also contact the local bar to get a list of any organizations. You might also consult with an attorney to see if they provide limited scope representation.
Family Code Section 2030 is meant to ensure that each party has access to legal representation based on ability to pay and need. The Court must make an order if the findings demonstrate disparity in access and ability to pay. Unfortunately, the college payments are not deductions. You also reference sanctions but there is no information as to the claims for this request.
It would be best for you to consult with an attorney and show all the relevant papers in your case. Many attorneys...