No; to correlate the two we would need ACARS data (or a lot of people sitting in airport parking lots with binoculars and a lot of time on their hands) and we don’t have a feed for that.
No; we don’t receive the squawk code from the FAA, only the flight identifier.
So if I understand correctly, the N number from the flight plan is not available along with the other flight data. And, apparantly the Mode-3 is also not able to be passed along either in their data sent to you.