Your matter appears to be very complicated and unrelated to the title of your question. To answer the question posed in the title - simply serve all parties with a copy of the RJI and file the RJI (along with an affidavit of service) with the county clerk.
Best of luck in this matter.
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Filing an rji is not hard. The form is probably on line at the oca website. Any lawyer can do it but you can probably do it yourself.
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I am having a tough time deciphering exactly where your immediate concern lies but I will take a crack at it anyway. It seems as if you have a home that which you and your disabled husband reside in that is at risk of foreclosure due to delinquent property taxes. If that is correct, then I am not quite sure where a Request for Judicial Intervention (RJI) fits in.
What it seems like you may need to do is start asking friends, family, relatives for a loan; possibly in exchange to put a mortgage on the property or to give them a % of ownership of the deed of the property. If that does not work, you may want to look into what banks, investors and/or other financial institutions or conduits are willing and able to lend you money to pay the taxes in arrears.
At the end of the day, it is my belief that your first step is to consult with an attorney/law firm that practices in areas of real estate, foreclosure, bankruptcy and banking law. This type of attorney/law firm may be able to advise you in a way that looks at your situation from all pertinent angles and may be able to give you the best information and advice moving forward.
I wish you the best of luck and feel free to follow up with any further questions, comments and/or concerns.