Speaking as an ex-elder, what you put in the contribution box is
irrelevant. As @OneGenTwoGroups said, accounts are handled by
ministerial servants (usually, unless there's few MSs in a
congregation.) The elders will likely never even see what you put in. In
all the years I served, the subject of who contributes was never ever
ever discussed, and was not ever, not even once, part of any factor
leading to reinstatement.
I've seen letters get really involved and detailed and emotional. You don't need that, at least, not at first. Your first letter should simply ask to meet to see what you need to do to be re-instated, perhaps with a little, 'I've come to realize God's way is best and I made a huge mistake' thrown in (probably not far from the truth considering what you wrote in the first post.) Don't expect to be reinstated after the first meeting. During that first meeting, feel out how it's going. If you don't feel they're going to reinstate, then try to feel out how long before you could meet with them again. Many elders don't like to commit to a time period, but if they say something like, "a couple months," then that's a good takeaway. Wait that long, then submit another letter, but this time, ask to be reinstated, and mention the emotional aspects, such as how distraught you have been that you've brought reproach on Jehovah's name, etc. It may take a few requests to get it done.
A side note:
The elders on your reinstatement committee will be the same ones who were on the judicial committee unless you changed congregations, or one or more of them moved away. If you changed congregations, the final decision for reinstatement will rest with the original committee in the original congregation where you were DF'd. If they're not far away, they may meet with you instead. But if they are too far, your local elders will meet with you and when they feel ready to recommend you for reinstatement, they'll write a letter to your original congregation with the recommendation. The original congregation has to respond and either approve or reject the recommendation. It's a whole process. If you are in the same congregation as where you were DF'd, none of this applies, but if you're not, be prepared to tell them what congregation you were in when you were DF'd, and if possible, a contact of either the Coordinator there, the Secretary or one of the elders on the judicial committee.