Yes, with the RFE asking to prove bona fides of your marriage, you may include as much relevant, objective documentation that you have. Also, if something is unclear or questionable, such as your lease situation, yes, you should include an explanation for that, preferably in an affidavit form. It would also be in your best interest to have it done by an experienced immigration attorney if you do not have one yet.
Contact attorney Gintare Grigaite, Esq. at 201-471-7989, located in New York and New Jersey. Answers on AVVO do not constitute legal advice and do not form attorney-client relationship. Always consult an attorney for a legal advice.
You should provide everything you possibly can, as long as it helps prove your marriage is entered in good faith.
The above is intended only as general information, and does not constitute legal advice. You must speak with an attorney to discuss your individual case.
Usually, the more paperwork you can supply to support the bona fides of the marriage, the better. I would suggest you do so. You may wish to consult with an experienced immigration attorney before submitting anything to get more personal attention and advice.
This answer is of a general nature and should not be relied upon as final, nor is it intended as legal advice. A consultation with an experienced attorney is always the best way to go.