First off, the events you are refering to go significantly beyond synchronicity, so that is a slightly different discussion. More importantly, you've already supplied the answer to your own objection: I can report synchronistic events to you but you have no way of verifying what they mean in the context of my own life and my own belief system.
Yet the events are objective evidence so they can be examined by others. For instance it could be that you just didn't do a correct search therefore that piece of evidecne does not actually exist. And since you state it is one of the pieces of evidence that you followed to the conclusion that something you call "synchronicty" exists.
So you see if you stand by your previous claims about your beliefs given the reasons you say you came to them they can be verified by others.
Now if you just want to say you have no evidence and it is just faith then that is of course a different matter and I'm not going to "hassle" you for your faith unless of course you wish to continue to claim that your faith is a result of evidence of the type you have previously described. And the only reason I would then "hassle" you is that your claim is intriguing and I would like to examine the evidecne you claim you have just like I do when people say they can communicate with a dead person or they can bend a spoon.