First of all, I like 'em, the first much more than the second. I think your playing is nice and hornpipey. You’ve obviously put a lot of thought into your settings and execution, and it shows. Overall, I’d say nicely done. 
But I also agree with Ben that your breathing is getting in the way a bit. You start out trying to get through 8 bars at a time on a breath. But you can’t keep that up, and your breath points get more erratic as you go on. For now, try sticking consistently to 4 bars to a breath throughout these tunes, and I think you’ll find that your breathing clears up.
Flowers of Antrim:
I think you’re overdoing that little “triplet” on the high b pickup at the start of the A part - b/c’/b/a/|gfgd - and it’s distracting. Try just playing the note, which will sound fine. To mix things up, besides your triplet, try cutting into it, or sliding up to it, or “flipping” it with a quick mid-cut {bc’}ba|gfgd (which is different from your triplet).
Your hornpipe triplet on the F# in measure 2 and 6 - |cBcA (3FAF DE| - sounds too lazy, slowing the rhythm. Work on the precise timing of your T3 finger, up and back down, and it will sound cleaner and stronger. For variety, also try omitting the triplet entirely |cBcA FADE| or substituting a run |cBcA (3FGA DE|.
Those “snaps” starting around 1:16 sound very tentative. I like the effect of the snaps. But if you’re going to do them, then do them.
Make them nice and crisp.
Rights of Man:
Your breath fatigue is catching up with you, so the rhythm is not as hornpipey, and sloppier. The little trill-y things you start to inject are distracting, too, and don’t help. You can omit them entirely. Overall, it sounds like you’re trying to do too much with the tune. Keep it simpler.
Again, the high b “triplets” (which are really turns here) are distracting - ga|b/c’/b/a/ bg efga|. Instead, you could try an actual long roll: ga|~b3g efga|.
You can occasionally “bounce” F-sharps especially if you like, but your finger movement has to be quicker if they’re not to sound like single trills. And don’t try bouncing them within a hornpipe triplet. That ends up sounding too busy.
The syncopations you try at 3:18 - |dc d/e/f- fe f/g/a-| - don’t work for me. And they cause you to lose the rhythm in the next measure. I’d omit them. They’re not typical, and variety for variety’s sake adds nothing.
Anyway, hope that helps.