The heat's been totally brutal the last few days. You can't go by what you did in this kind of heat. I used to stress out about running more slowly when it was in the 90s, but I now figure, "get it in, but don't worry about pace. The good stuff will come when the heat calms down." Simply hanging in and doing the training when others are staying home in their air conditioned living rooms watching tv puts you ahead.
Agree w/ the others that you might want to modify your plans a little to cope with heat/humidity. Paul's advice sounds good, and also agree w/ Emma about early morning running when it's hot.
I think the idea about not dieting is more to say don't obsess about diet or go on anything radical. As Paul says, be conscious of eating healthy things--don't skip meals but think of food as fuel, and ask yourself what quality fuel will most help your "engine" to run the smoothest. I have to watch cravings, but I notice I can substitute things and stay satisfied. For instance, I would get hooked on chocolate, but found that the Yoplait chocolate yogurt satisfies my craving w/ fewer calories and some protein. (Yoplait, I'll be waiting for my check, thank you!)

Also I eat more fruit and such....
Finally, there's no deadline for running marathons. If you find that your training hasn't progressed to where you want it, you can always adjust your marathon goal, look for a different one. On the one hand, I can understand having the need to do a particular one for various reasons, but also it pays to listen to your body, so you don't get injured by rushing things. Maybe aim for some half marathons at first, then work your way up to a full marathon in another six months to a year. But also, there's certainly time between now and December to work your way up to the full marathon. Just be mindful of how you feel and know when you're ready to move forward vs. when you might need to back off.