Don't listen to this dic.k. Or me, really, for that matter.
Are you dealing with felonies or misdemeanors? Felonies aren't an out right bar in most states, but still not good.
Is law out of the question? Probably no. Finish your undergrad degree and go from there. DUIs are very common. I doubt there is a grad school in the country where someone doesn't have a DUI. Trafficking? Eww, I don't know about that one. You will have to disclose all this likely, regardless of the dispo.
How long are you on probation? That may be a problem, but not a bar. There is a law student at Tulane that is on parole from a murder conviction. Point is, it can be done.
You posted this in a bad spot. Try the other boards, there are a few (in applications, I think) that address this- and guess what, DUIs are involved. There are a few that discuss felonies too.
Your high school numbers are irrelevant. Don't plan on a 160 necessarily, if you can then great, but 160 is a good score- you haven't even seen how you do in college yet. Take logic and math.
A little better editing can't prevent attacks from fools like the above. If you do end up in law you will deal with people like this all the time. We call them Butters- so insecure they lash out. GL. Just focus on undergrad for now. This bridge is years down the road.