Hi there and welcome to the forum. I'm sorry you're suffering right now, and please be assured that we will do all we can to advise you.
Right now, all you can do is nothing. Nothing you can do or say to her is going to make a difference at this point because quite honestly, you've freaked her out to a point that she really does need her space. All it will achieve is to make things worse. She has told you to leave her alone. I know you have admitted that you're insecure, and most (if not all) of your actions scream insecurity. Even the threat of "if i do something crazy tonight, don't worry about me, and you'll never hear from me again" is a test. You want a reaction from her that can help confirm how she feels. Sadly, even if you get the reaction you desire, the damage is already done. You cannot force someone to react the way you want them to, nor can you bully people into giving you what you need from them. Just because she may not react/give the way you want her to, does not mean she does not give all that SHE can give. Every person is different.
As difficult as it is, NC is the only way to go. You need to focus 100% on yourself now mate. Work on the parts of you that you need to. You need to learn to love yourself, I'm not talking about conceit, I'm talking about a healthy respect for yourself. Once you can master that, your insecurities will fade. You will no longer seek for others to provide your happiness as you will provide it yourself from within. Your relationships from that point will take on a whole new meaning. Not only will you be fulfilled, but your partner will be too. You cannot burden another with the pressure of making you happy, that is not their job. If you are not internally happy, that person is fighting a losing battle anyway because you will never be happy. Take it from someone who has been where you are, and knows how you feel.
No contact isn't about winning anyone back, and there isn't a strict timeline. However, the logic here, is that once you are emotionally healthy again, and worked on yourself to a point that you finally love and accept who YOU are, you will become a MUCH more attractive proposition to ANY woman. Not only that, but you won't have to prove it because it will be obvious from your actions. When you are at THAT point,... the point where you actually don't care whether she wants you or not,... THEN you are ready to be back in contact with her. This is about self preservation, and about protecting your heart my friend. I would be very surprised if you are still interested in rekindling a relationship with her once you have reached this point.
It's great that you are seeking help, but to me, ALL of the lying etc is down to insecurity. The tests you speak of for her are your way of needing to have that confirmation of her feelings for you. I kinda get that mate, but noone appreciates games, and the more it happens (lying, tests, etc), the more you will drive people away from you.
I know this hurts, it hurts like hell, but use this time to focus on getting YOU back first. If she is going to return to you, she will. One thing is for sure, it won't be because you tricked her into it. It will be because she wants to. Your feelings are far from straight buddy, there is no logic to love,... which is why you need to be healed before you can make rational choices about it.
This is about YOU, the more you torture yourself and over analyse everything you/she did and said, the worse you will feel. Make the decision to stop assuming how she feels, stop analysing everything, get away from social networking sites and think about YOUR healing. Once you're all healed and ready to face the world again, we can talk about winning her back,.... my disclaimer here is, if you still want to win her back, you're not healed!
We'ere here if you need us buddy, hang in there.