I don't have much advice around the CC issue, or the debt, or the failure to reimburse. Did your husband's job provide any of that in writing? They sound like important things to take care of.
As for the car. I think you're on the wrong track here. You absolutely should not be looking at buying a new car, and even more so, a lease. You'll blow through the miles on your lease faster than you can even imagine, and then end up paying out the nose for the overage. Another thing you'll need to get used to around the US is that it's very easy to accumulate miles, especially in an area you're not familiar with.
My advice? Buy a used Prius. Something from around 2007 or 2008. As long as the miles are under ~150k, you'll be able to get what you need from the car. See this ad below for an example of what you should be looking at:
https://charleston.craigslist.org/cto/d/07-toyota-prius/6255046986.htmlWhy a prius? All the space you'll need (don't be that person that always offers to drive the kids around). Put a bike rack on the back and you can carry your bikes, and have room for the trailer inside. Great gas mileage and super reliable, especially if it's had its battery replaced recently. My FIL has one with 220k and it's still going strong.
You can also look at a Honda fit, Scion xA, Pontiac Vibe, Toyota Matrix, etc.
Basically you want something that's going to cost as little as possible so that your $3k covers almost all of the cost. You'll want a hatch for flexibility, and you want a small car for economy. Trust me, the last thing you need right now is a minivan.