Three comments
Paddy Whacks
This is another great tune from the Padraig Rynne album "Bye A While"
Cognate tunes
This tune is a duplicate of Máirseáil Alasdruim of which this version has already been posted :
https://thesession.org/tunes/6188
Alasdair’s March comes in many guises, including this famous version: https://thesession.org/tunes/2136
And here’s a different jig, also called Paddy Whack: https://thesession.org/tunes/317
Alexander’s March
This is indeed a variant of Alaisdair’s March. The closest setting I’ve heard to Padraig Rynne’s — almost identical, in fact — is on the McCarthy family’s "Family Album" CD, where they call it "Alexander’s March." I’ll link it soon.