I don't think a handfull of speeding tickets spread out over many years is a big deal. It's those 'careless', 'wreckless' incidents and worse that can start to sink you.
I met a guy years ago that asked about an interview. I posed a few basic questions, then he mentioned the DUI he got a while back. I'm just saying, at this stage(and before hopefully) if it calls for some celebration, plan ahead.
With the many applications on file, some infractions make its easier to sift through the numbers. I realize some fall prey to unfortunate events. Back in another life the response was 'sounds like a personal problem'. That would be were excuses are meaningless.