You don't have to report the accident. Traffic tickets, on the other hand, are subject to endless debate on this forum. Some members will tell you to report all traffic tickets, others will tell you to only report traffic tickets over $500 or those that involved an arrest and/or were issued for a DWI/DUI. I had a few minor traffic tickets and didn't disclose them. At my interview, the IO asked me if I've ever been arrested (not have I ever been cited), so I answered "NO". At my oath ceremony, the IO in charge specifically instructed everyone not to disclose traffic tickets on the back of the oath letter. Basically, it's up to you to decide whether or not to disclose it. My opinion: don't bother.
Ok, thanks for your advise as it is within the letter of their directive. Nevertheless, I will instruct her to carry proof of payment just in case.