<human>: Condense the text into a few key points

Hopefully this is the right sub for advice.

So basically, I got a stop sign ticket in March. It was raining, I california rolled it, making sure no traffic around but the cop was a couple stop signs down. Got the citation in the mail a few weeks ago and extended it to June. Will likely do a second extension.

But then a few weeks ago I was driving on the 5 (coming from northern to southern california), it was a 6 hour drive and towards the end of my time on the 5 (after 200+ miles on it, nearing the Tejon pass I think), got pulled over for doing 95. The road was pretty empty since it was past midnight. He was the first cop I saw the whole time on the 5, well he was hiding on the side of the road but anyhow. 

I'm just wondering, is there anyway I can avoid them showing on my record, or even avoid at least one? 
My first and only ticket was over 4 years ago, so my record is clean but then I go and get two in no time, so I'm worried. I'm 23 also, so I know my insurance will be affected drastically.

So basically, what can I do if I got two traffic violations to deal with?

Neither were near my current location. The stop sign one was where I used to live, 6 hours away, and the speeding one was on my way down there, in the middle of nowhere. 
The speeding one just says to pay by June 10, though I just got the letter today 5/25, which seems really short noticed. It doesn't have a date to appear or anything, but says I could request one(?).
<bot>: 2 traffic tickets. How to avoid them showing on insurance or reduce them or get out of them...or at least one!