It doesn't always go on the face. Mine did, but only after I'd have it for about 10 years. I can control it there with creams thankfully.
Mine is pretty severe, it's all over my head. I put a softening cream on my scalp, leave it on over night and then get a flea comb and try to comb out the excess flakes (sounds gross I know) so that it isn't so noticeable. I also have something called Xamiol which is a steroid treatment I think, but not 100% if it works at all.
I know it is treatable, I seem pretty resilient to most things though sadly. I'm sure you'll find something that works!
As for stopping breastfeeding, I haven't a clue whether that helps or not as I've not had any children yet. But don't feel bad for him, he won't know

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