Unpaid debts are not an issue for immigration, so even if there are some bills still outstanding immigration are neither going to know that they exist, or care at all about it.
The careless driving ticket may show up on your record that immigration can see, but presuming it is just a simple careless driving ticket then it’s nothing to worry about. The exception here would be if the ticket include anything related to a “controlled substance”. ie, if they charged you with being under the influence of alcohol (DUI) or drugs at the time of the accident. Presuming that’s not the case (and I’m sure it’s not, if only because your insurance probably wouldn’t have covered the bills if it was!) then you’re set!
No, shouldn’t be a problem. Looks like you’re doing everything right, you paid your ticket and you’re taking care of your bills. Why are you even worried?
Credit:stackoverflow.com‘