I agree with my Colleague, USCIS is well aware of the VTVPA amending INA section 3 19(a) which allows for VAWA applicants to apply for...

Do I need to provide a copy of the selective service registration letter with my N400 citizenship application?

It is not a requirement and they usually will not ask for it. However, if they ask for it in a Request For Evidence (RFE) later for some reason...

Divorce,

My colleague is correct, more information is required to give a good answer. However, let me take an educated guess at what you are trying to say....

Filing for student visa and I-130 simultaneously for a sibling

Yes, your sister may apply for an F-1 visa while her i-130 petition is pending and there should be no issues with one affecting the other.