Palgwe 1: Bog standard, for the purposes of this thread nothing interesting going on here.
Palgwe 2: See above.
Palgwe 3: See above.
Palgwe 4: We have four instances of the Heian Nidan opening movement, except the last technique in the sequence is knife hand instead of hammerfist. Moving up the I and back there are two slightly more stylized instances of the Heian Sandan/Kanku Dai dumb knife hand anti-grab technique, where you give opponent your back just to get rid of a wrist grab on your spear hand.
Palgwe 5: More standard techniques. At the top of the I are two instances of the Heian Yondan/Kanku Dai fist stack into simultaneous back/hammerfist side kick, landing in a rear arm elbow. There's also something that resembles the reinforced inside to outside midlevel radius block from a couple of Heian forms, but I wasn't explicitly taught it as a reinforced block.
Palgwe 6: The sequence from high palm block/knife hand to front kick to X-stance backfist is lifted off Heian Yondan, which got it off Kanku Dai. Slightly after there are two instances of spreading double block into kick into two punches, which are Heian Yondan, Jion, and Jiin.
Palgwe 7: The high X block is suggestive. Everything from the low X block to high open palm X block to hand flower to punch to one foot pivot/lower block to extended palm to crescent kick to elbow is lifted off Heian Godan. After the little bunny hop back that lower/side block posture is out of Heian Godan too, as well as a few other Shotokan kata.
Palgwe 8: The opening three moves, repeated on the other side, are the right side opening movements of Heian Shodan. Then moving up the I there's the give your back to opponent spear hand grab defense from Heian Sandan/Kanku Dai, but slightly closer to the source material here. At the top of the I there's two instances of the back/hammerfist side kick landing in elbow from Heian Yondan/Kanku Dai. The two movements at the end are the closing movements of Heian Sandan as ewll.