Your last photo is the best that I have ever seen of the John Moulton barn.
Excellent! I could view this for hours. This image would do well as a 13x19-inch mounted print.
The palps (small forelegs) of a male spider are larger than a female's palps. Male palps are used to transfer sperm sacks to the female receptacle. I believe sperm sacks can be seen on each palp of your male spider. I suspect that you witness attempted mating, not exactly fighting.
Johann! Excellent, buddy.