Well, technically either ticket will be a 2 point ticket. Careless is 2 and speeding 1-14 mph over limit is a 2 point ticket. Since you were in the wrong for speeding you really ended up just getting cuaght and it sucks but what can you do. Like you said he could have wrote you another ticket for the document expired too.
All that said, I would try to plead it to unsafe, simply because of the points and that if you are at 5 -6 points now on your license, you are now going to be surcharged for the next 3 years!
Also, how does your insurance not go up from points?
JW