oh hun, hugs! but having left home, at the same age, for similar reasons, hers my little bit -

having to ask my mum for permission to do absolutely everything really, really sucked at that age. i couldnt even make a phone call without her consent, she even pin locked the phone. i wanted to pay to have my own phone line installed but that was out of the question (i worked part time and was still one of the higest ramking students) so much for being a "mature, reliable, independant student" as all my teachers said.

so, at 15 i started my planning to leave home. i had everything - lounge, fridge, cutlery, soaps, even tea towels! at 16 i was ready to go, and never came home until i left my ex (dont think "oh but i dont want her to end up getting knocked up like that girl" - i fell pregnant with dd after my ex and i had already bought a house - yes, i bought a house at 18)

anyway, to answer your q's -

out with older people - well, do you know them? or are they relative strangers? if you know them, yes, if they are strangers - chances are she wants to get to know them herself before she introduces them iykwim... thats a very tricky one!

hanging at the shops - sure

away for weekend - sure, if she pays for it and other parents are around (even if they are staying in the next house or something, but still around)

drinking - if she is that age and she wants to drink, she is going to do it if you like it or not, she might even want to do it more because you don't let her. so, a few drinks at home, where she can learn her own limits and not make bad choices because the wrong people are around could end up teaching her a thing or two about how to handle alcohol?