I would definitely contact them and have it added. It shows your commitment to attending ND, and might be the thing that tips you in the committee’s favor - you never know.
As for your SAT score, I wouldn’t worry, as long as you’re applying to a math based major. You demonstrated that you’re great at math, and if you’re in a math-y major, I think that they would overlook your low Reading score because of you perfect math score, which doesn’t happen often.
Everything else on your application looks great. I think your chances are about 3 in 4 for getting in.
Would you mind chancing my thread, as well? Go Irish!
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