Remove the front panel below the keyboard you should reveal the pedal action and you can tighten it or lubricate it. Easy.
As someone who does covers simply out of boredom... I'd say that your playing isn't bad, but it sounds like you're lifting the pedal BEFORE you play the next bar, instead of connecting the bars by pedalling AS you play the beginning of the bar. The other thing however I find a little odd is that this piece is clearly in a simple 4/4 time signature, but you've slightly buggered the melody by trying to put it in a 12/8 time signature. I don't think a compound time signature works in this piece.
None of which has anything to do with the actual question posed by the OP.