Battle of Setauket: AWI with a Gentleman's War

At the end of the first season of the TV show "Turn", there is a battle for the Long Island town of Setauket.
On the show, the battle never completes due to a hostage situation,  and I always felt cheated and wanted to play it out someday.
Someday finally came, as Howard and I got together to try his (unpublished) "a Gentleman's War rules again for AWI.

The setup:
The British, expect attack and have fortified themselves on the church hill outside of town.
They have 2 units of regular infantry and a light gun.  They have sent a call out for reinforcements and will recieve a unit of cavalry and Queens Rangers at the end of turn 1 and 2.
The Yanks have 3 units of militia, (one of which has been been hardened of resolve by the British major using local tombstones to reinforce his defenses.), one unit of riflemen, 1 unit of Connecticut regulars and 1 unit of Continental Dragoons.

Initial deployment:  USA in the foreground.

The British defend the church. 

US dragoons advance on the left.

US infantry advance on right flank.

US starts to take some hits,  but get their riflemen into the woods on the right flank.

At the 2nd Joker the British cavalry show up.  They square off against the US dragoons.  After a brief fight they push the U.S. cav back.

A random event!  The british cannon suffers a terrible accident.

The British cavaly chase away a militia unit.

The US dragoons go back in, but lose again.  However, caught up in the chase, the British move off the table with their foe.

The US goes over the wall and have a see-saw battle with the British. Each side loses a unit but the US still has anumbers advantage.

The Queens Rangers finally show up, but are they too late to make a difference?  They gain the attention of thr riflemen.

The British put their faith in the bayonet and go for the charge, hoping to rout the fragile militia.

It doesn't pan out.  The U.S. sends the British packing.
Thus ends the battle of Setauket!

Minis: 28mm Perry and Old Glory 2nd ed.
Terrain: Miniature building authority and another resin maker from the UK I can't remember the name.