>>6928926She probably does have a mental problem, either due to or made 100x worse by her father's(I think?) death. Now that she has utah and friends she can tone it down a bit when she needs to. That'll probably get easier for her as time goes on to some extent.
>>6929010I think the moral is just that you shouldn't completely change who you are at the cost of happiness, it's not super deep. The anime is more of an exaggeration of that than a literal example, the show wouldn't be nearly as interesting or funny if she was just a slightly awkward girl.