Won't hot start
 

Have a 2005 RX-8 cranks and starts great when cold but won't hot start after it is been run 2 normal temperature, replace starter and Battery still having issue, you can roll the car off when it's hot and it will start right up or you can add a jump box to the car and it will start right up I am lost at this point any help would be great thank you in advance.

Not starting while hot demands a compression test. Send us your numbers.

I second that, I had a similar issue and I ended up needing to rebuild.