My doctor isn't totally crazy about charting either, but it sounds like your Dr puts absolutely no stock in it and I don't think that's right.
I have seen SO MANY women here on JM who have luteal phases that are shorter than 14 days, it's hardly rare. I am willing to be that you ovulate at a normal time and your LP is just a tad short.
I don't know if your luteal phase is the reason you aren't getting pregnant, since it's not super short, but at the same time, it can't hurt to try and lengthen it. I've heard good things about B6 and progesterone cream.
Don't give up sweetie, I know it's so hard.

But it will be so worth it.
I hope you get answers soon, maybe from an RE or another doc. And of course, I hope Scotty is okay too. KUP.