You did everything just about right.
The hardest test that you passed was the band-aid test. The guy was not in the LEAST bit interested in actually getting a band-aid.
This was a variation of the classic "OW! You're HURTINGGGG MEEEEEE!" move that a manipulative child will play when an adult goes to physically stop some shenanigan or to hold or bring them to an authority. To which the counter move is to ignore whatever they say as you complete the mission.
He was pretty inexpertly just trying to use any leverage to manipulate. You were completely right to stand your ground and not act like prey and not show ANY sign that there was ANY leverage he could use against you.
Had you gone to get a band-aid, he would have exploited the opportunity.
You should have offered instead to call him an ambulance, but only after he agreed to sit down on your steps and let you close the front door.
That would have sent an even clearer message that YOU had the power, which you refused to yield at any single point anyway, so bravo!
Do be a LOT, and I mean A LOT more careful for a little while.
This guy is not used to being caught and is even less used to losing an exchange where physical intimidation is involved. You hurt him very bad, and while that may be enough to keep him from coming back (most bullies only need to encounter resistance to back down), his ego may be bruised enough to "require" retaliation. Keep your valuables out of sight and away from doors and windows, and make yourself and your home as difficult, as UNREADABLE and as messy a target as possible right now. Actually, you should do that anyway, but right now, more so. And keep yourself in the light, and your phone ready. Also, have your phone ready to snap photos too. If you EVER see this guy again, get a picture.