Thanks for posting the graphs. Let's go through some of them.
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Left graph is the left speaker, right graph is the right speaker.
Red/Green: before Dirac
Blue/Yellow: after Dirac
You can see in both "before" graphs that the subwoofer is set way too high, it's about 12dB too loud. Dirac has cut down the subwoofer too much. You want the bass to look something like this:
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This is your "after Dirac" measurements L/R with a target curve drawn in. You are missing about 7dB of bass. It's not as if your speakers/subs can't do it, we can see that your subs are able to produce more bass than you need. Also, the top end (above 2kHz) looked OK before Dirac. Dirac boosted it! The result would sound a little bright and thin.
Don't ask me why Dirac chose to cut so much bass. I don't use Dirac. Maybe someone on ASR who uses Dirac can chime in. Would you be able to show us what target curve you used with Dirac?
I had a look at the rest of your measurements and I can see a lot of very loud and very early reflections. Read the thread I linked and look for my comments on how to read the Energy-Time Curve, then go look at your own. Are you measuring with a mini tripod? If so, throw it in the trash can immediately and go buy yourself a proper mic tripod.