My daughter and her peers have atrocious handwriting, grammar, and spelling. They aren't stressed in school.
I remember getting dinged for my spelling in classes other than English. Now the other teachers don't care how terrible the grammar and spelling is; that's the English teacher's problem.
I remember my mom (a teacher) would say that if she can't read my signature or writing no one could. I think to myself "can Mom read this?" everytime I sign my signature.