No chance of getting HIV - the cut isn't big enough, and it wasn't bleeding, meaning it wasn't open. You have to squeeze it to get anything from it, which means you are probably opening it again.
Syphilis - probably not, because it prefers mucous membranes, like the mouth and genitals.
Stop pressing it, keep it clean, maybe put a bandaid on it so you aren't looking at it all the time, and you'll be fine. :)