Macaulay Youngson opened the scoring for Commercial with a curling shot, Palmer heading in the second and then slotting home the third - after superb play from Adrian Kwiatowski to put his side in the driving seat.
New recruit Chris Cowling forced home the fourth from a yard out and a curling free-kick from Youngson made it 5-0, Shaun Wood pulling back a goal for Barrowcliff with a free-kick that slithered through the grasp of keeper Ashley Buck.
A low finish from Palmer completed his hat-trick, and he then scored the next three goals, his sixth the pick of the bunch, a low finish after some sparkling play from the hard-working Macca Riley and young sub Josh Hird, who impressed in central midfield.
Centre-back Joe Bayes made it double figures with a close-range shot from a corner with the last kick of the game as Commercial made light of the absence of their manager Geoff Osguthorpe.
Newlands battled back from 1-0 and 2-1 down to scrape a 3-2 home win against Fylingdales.
The village club led 1-0 at the break and only a string of fine saves from stand-in keeper Lewis Weller kept Newlands in the match.
Jacob Codling levelled on 7-0 minutes for Newlands but Fylingdales soon restored their lead and looked set to claim the three points, but Liam Cooper and Stew Bates scored in the final 10 minutes to secure the win for Ben Luntley's troops.
Michael Wilson, playing in an unaccustomed role as centre-back for a heavily depleted Newlands line-up, was named as the man of the match for the victors, while Drew McCoubrey claimed assists for all three goals.
West Pier powered to an 8-0 home win against Heslerton thanks to braces from Martin Cooper, Cameron Dobson and centre-back Sam Hyde.
The latters central defensive partner Dan Jones was also on target with Luke Delve completing the scoring for Pier in a fine all-round team display.
Cooper's second strike, a clever chip after fine approach play from Dobson, was the pick of the bunch.
New signing John Emmerson was the Heslerton man of the match with 18-year-old Rob Green also impressing for the villagers.