He might do, he might not do. He could very easily combust during the campaign when under scrutiny, as he has done several times in the last week alone. Plus there's plenty of skeletons in that closet...
It must be tough. He's got the job he wanted his entire life in the hope of being universally loved, and it's turned out everyone hates him for it and he's really, really bad at it.
For a genuine answer (because it's still relevant and a little bit amusing), no he can't go to the European Court of Justice, because...the ECJ has no legal powers over the UK constitution, because they don't make our laws for us!