Static friction on the car's wheels (assuming it's not skidding here) needs to be forward in the same direction as the car's direction of motion, if it is moving forwards.
Imagine trying to walk forward on ice on shoes without any traction. You wouldn't go anywhere, right? That's because when your foot exerts a force on the ice backwards (to propel you forwards), there's no force countering that force which would allow your foot to stay still on the ice. If there's no force countering the force your foot exerts, your foot slips and the result is you haven't take a step forwards.
I'm not sure what the towing problem is, perhaps if you post it, we can help you better. But basically in these problems, the main thing you have to focus on is HOW is this thing moving? For example, if the car's wheels are skidding as it's moving forward, then kinetic friction would be the applicable principle here. (Imagine a box "skidding" forwards across the floor.) And moreover, the direction of that friction would be backwards, opposite to the car's direction of skidding/motion. But, if the car's wheels are spinning normally, then what's operable here would be static friction, and the direction of the static friction would be in the same direction as the car's motion.
So basically, things with wheels are a bit tricky because you can imagine them moving forwards in two different ways. One way's the normal way, where the wheels are spinning and due to static friction the thing is propelled forward. But another way the thing can move forward is just being "dragged" forwards, even if the wheels are somehow locked in place. In this 2nd case, the thing behaves exactly like a thing without wheels that you're used to dealing with in physics problems (like a box). Just figure out from the problem how the thing is moving and from that think about whether you've working with kinetic friction or static friction. If a thing moves forward based on a static friction, then it has to be via something like our normal locomotion- we exert a force backwards which is countered by that frictional force, allowing us to be propelled forwards. Whereas if a thing moves forward and deals with kinetic friction, it's more likely the thing is being dragged or pushed or something (such as a box being dragged or pushed). These are just generalizations.
Does that help at all?