Yes.
Yes, at least if you walk. Not sure about other transportation options. Count on about 13 minutes for the walk.
Not sure why this information is so hard to find… Sometimes you land at one terminal and have to take a puddle jumper to a regional airport out of another and you’d really like to know is 50 minutes or whatever gonna be enough?
This is probably true for most major airports. It seems for instance that at Newark Liberty you can also move between terminals A, B and C without going through security once again. I thought JFK may have been an exception to this rule, but I’m not sure…