I've suspected for a few months now, but don't feel rushed into getting a professional diagnosis. If you have this, then you do whether or not someone else says so, and you always have had it and you always will. Besides- not that an official diagnosis is a bad thing at all- but if you are considering going into some careers like the armed forces or a few other professions, they can be varyingly strict about this. I think the military, until recently, banned people with diagnosed AS from serving (I could be wrong). Of course, if you're not interested in that, then it's a bit irrelevant.
Mind that once this is on your medical records, it can't be removed, so if you have a problem with that, and you're functioning well enough in society already, then you may decide you don't want to get diagnosed. However, once again, take your time with considering this- and maybe compile a list of reasons why you suspect you have aspergers (just to have, or to give your GP).
Answering your other questions, yes, I suppose I might like a diagnosis but the issue is that my traits (and I suspect AS itself) is so common in my family that my parents don't see it as a abnormality- rather, it's more of a not wholly-unexpected personality type somehow passed down the generations XD. Don't worry if your parents aren't with you on diagnosis, you can always get diagnosed as an adult, anyway .
About the problems at school- you can always talk to a teacher you trust (well, if there are any- fair enough if you don't) or develop strategies to work around them. PM me if you want to talk about it some more.