Profile For Aspiring OTR driver

Hi, I'm 24 and about to start school for my CDL on Monday. I've been trying to do some research including callin a few recruiters and reading a ton of articles on here. And while I have found a bunch of useful info and a few companies I'm interested in, I was wondering if anyone can tell me if the companies I'm looking at would not accept me due to a misdemeanor receiving/transferring stolen goods charge in mar of 2014 and a possession misdemeanor in late 2013, also an old speeding ticket or two but they should be over 5yrs old seeing as my old job was DOT regulated w oilfield and insurance cleared me to drive company pickup. The companies in most interested in at the moment are Celadon, Prime and Maverick? And help would be much appreciated! Thanks