Please check the Prime, Inc forum at TheTruckersReport.com. in general Prime is picky and rejects drivers other companies would hire. Honestly, those 3 items are serious. Being less than 3-5 years in the past means they are still recent. As a general rule any speeding charge of 15 mph or more above limit is a big deal. 14 over is bad, but 15 is a key number. There are ALWAYS compaies that will hire you, even if you’ve murdered or been a drug trafficker, but they will take advantage of your “desperation” and DOT will give you a thorough check at EVERY opportunity they can.
Don’t give up. Check Truckers Report, but they will probably tell you to wait 1-3 years and pick among some lesser desirable companies, and then use your spotless record since those tickets to change to better companies ASAP.
Also, never smoke pot. If you have stop now and don’t hang out with any users. Everyone is tested and some companies check hair samples rather than urine. There are no tricks, a user will be discovered, and a DUI or failed/refused drug test is almost a death sentence. You may have never smoked and will never smoked, this advice applies to all in trucking and trucking doesn’t care if anyone thinks the tests are fair or pot is legal in anyone’s state. If you smoke, you’re out. I’d say anything less than 6 months clean is risky if they test hair. 6 months is about twice as long as the most common hair test can find use. But, you never know when they will make a better test. Truckers Report is FULL of dope smokers asking what to do after getting caught.