I asked before but, I'll try again. Is there anything that goes in where the purple circle is? It's hard to believe that only one (1) screw{pink}is holding it on.
It looks like the rear section, behind the motor, is missing. Here's what it should look like;
Some versions may have had a single screw hole;
Complete chassis should look like this;
You can probably save the chassis by making a bracket from 1/32nd or 1/16th brass sheet stock. Something like what is shown in red. You could add piano wire stiffeners to reduce the flex;
On Home Racing World, a fellow named Chris Walker did a build of the Lola T-70 version of the Challenger kit, and added pans onto which you could add body pins if you wanted to go that way. (It's his photos I used above)