I know how to be awkward

I have a problem, I can't seem to talk to girls, I don't know why but I find it really hard, maybe It's because I don't have any friends who are girls but how do I make girl mates if I can't talk to them! It's the second year of college (year 13/17 years old) and I think I've missed the opportunity to approach people and befriend them in college. Another reason which partly contributes to my "girl-phobia" is that I'm not really outgoing, I don't have a social life mainly because my parents (pretty strict) don't let me out of the house, and if I do go with friends etc... then I can expect numerous phone calls from family and that's only if I'm out of the house for 2-3 hours. So you can see that my parent would never consider me staying out till late night (11pm/12am). Putting that aside I did manage to go abroad a week ago for 2 weeks. 1 week to Morocco, and the other to Magaluf. Now you're thinking how an earth did I manage to do that, well I stretched the truth and told my parents that I'm volunteering for 2 weeks in Morocco (whereas it was only 1 week!) Now don't think that I can convince my parents to allow me to stay out late (unless it's for something to help me in my academic studies). I struggle to confront my dad on issues and telling things to my mom will still require a go ahead from dad! Now that you understand part of my history (I think) I'll go on to explain my current situation... At the start of last year I started to like this girl in my maths and well I thought that she liked me back to, not because we used to talk a lot or anything but because she came and sat next to me in one of the lessons and well me with my girl-phobia could hardly get a word out so next lesson she moved back. For you that might not be anything but I thought I had a chance from there on. So fast forward a few months and I was at a maths workshop that girl was also there with a large group of friends and she wanted help with her decision maths she was asking and asking, maybe because she saw me doing a decision maths paper, later on she started another conversation with me again I kept it minimal as my nerves kicked in! (Is it me or do I sound like I want to believe she likes me?) Now in the 6 weeks holiday I went to Morocco and Magalluf. In Magalluf I told my friends about my "girl-phobia" issue and this girl and well one of my friend knew her from secondary school. So while I was in the shower they told her on Facebook that I like her and that I'm a shy guy etc... She called me sweet and said that both of us hardly know each other, the conversation ended by my friend saying "enjoy year 13 with *insert my name here*" I was pissed off but I thought hey at least now she knows I exist. So now about 3 days ago it was my first maths lesson and I tried to avoid all contact with this girl because well I felt awkward. so at the end of the college day my friends asked if I talked to her and they were a bit frustrated when I said I avoided her! Later on in the day I received a phone call from my friends and they're mocking me for not being able to talk to girls and how I avoided this girl in maths. Lets say this kind of got me pumped up and I tried to ask her out on Facebook, but later on I realised why would a guy who hardly know a girl ask her out and that too on Facebook. Here's the conversation... Now the last comment by me (in blue) was done to make it look like my account was hacked (which obviously failed epically). I told my friend I asked her out and she said no, so he suggested that I make it look like my account was hacked however that didn't work, so to redeem myself I made it look like one of my friends posted that message. Now if you've read this far thank you. I was thinking that once the weekend is over I should try and start a conversation with this girl and apologise for how I tried to ask her out, I don't know if that's a good move and it'll be helpful if you guys could suggest what I do next. Thanks!

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