Without a basic license you are not eligible to reduce to zero points. From your description, you do not have a viable defense.
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You are only permitted to make a turn safely. It sounds like the officer thought this was not done. As far as negotiations, if you still have your provisional license you cannot get the 0 pointer. If you can get your regular license before the Court date Edison may help you out. The fine is cheaper on the 2 pointer and you can take a safe driving course and get the 2 points reduced.
Other driver should have yielded if you were already in the intersection. My advice is to file a careless against the other driver. At court you both take the Fifth and there is a good chance charges will be dismissed. A lawyer would help!