Willys Aero bodies are of unit construction...which means that there is no frame under them. There are structural members welded under the body that act as a frame and places to bolt things to. That's the weak spot on an Aero. So...look under the car for rust thru. Pay special attention to where the transmission cross member mounts to the body as that spot is prone to rusting. Fixing underbody rot on one of these is not for the amateur restorer and isn't cheap if you have someone else do it.
Also, look for rust where the rear springs attach to the body and where the tops of the front springs rest against the body. Again, rotted areas there usually spell an expensive fix. Parts, otherwise, are easier to find than you might think, except for the engine. The 161 engine is unique to the Willys Aero, some Willys trucks, Kaiser Henry J and Kaiser Darrin. If the car runs, all the better.
The pix provided show a decent looking car that if it's not rusty underneath wouldn't take too much work to be a decent driver.