I've read the complaints about the Epicurean school having to do with their being dogmatic or not disagreeing with the teacher.
I'd have to look back too to really be sure, but I am thinking that some of this criticism is included in Nussbaum's pro-Stoic "Therapy of Desire." I'm not a fan of that book but if someone were looking for that criticism, which I think is totally unfounded, that's one place I would look.
As to Stoicism, other issues in addition to divine order, plus a belief in life after death (so you start off violating Epicurus' first two doctrines right there) are their emphasis on logic over feeling/sensation and their dismissal of pleasure.
In my case I got interested in Stoicism due to high school and college courses in Latin, and my general impression (which I now see to be false) that Cicero was a Stoic. Aside from Cicero's willingness to enlist the Stoics in his defense of Virtue, Cicero delivers a strong take-down of Stoicism in one of the latter chapters of his "On Ends."