Well, you need to immediately pay the 2008 ticket and have that warrant set aside. If you are lucky, USCIS will ask for evidence in regards ***** ***** 2008 ticket and you will be able to provide the evidence that the warrant has been set aside and that it has been paid. If you continue to be lucky, they would not find that you are a habitual traffic offender and that you do not disrespect the traffic laws in the U.S. If you get unlucky, they will deny you for lack of respect for the traffic laws. It does NOT mean that you will be deported. It means that you would need to apply again and prove good moral character. But honestly, to have the best chance of approval in the future, you should apply a full 5 years after you pay off the 2008 ticket because they want to see a full 5 years with no issues. Maybe 1 or 2 traffic tickets during that period would be ok, but there are no guarantees.
If you want to still try to move forward with the current application, apart from paying the 2008 ticket and setting aside the warrant, you can also submit good moral character letters from friends, family, co-workers, bosses, neighbors, etc. where each writes their own letter stating who they are, how long they have known you, how they know you, and that you have good moral character and to give the reasons why they believe you have good moral character. The more detail, the better. The people you ask to write the letters do not have to know about any issues in your background.
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