Martin, in a scene cut from the MST3K version, tells Tony that the four Americans who were tossed out of windows were sons of doctors whose parents were killed in plane crashes. Okay, so...
1. London is pretty big, but even so it's unlikely there are even two people living there who fit that very specific description, but the movie expects us to believe there are at least seven! Kobras killed four, Tony himself makes five, and Kobras said he hoped Tony was the Pumaman "if only for the sake of the others" implying that he knew of at least two more (since "others" is plural) that he planned to kill if Tony wasn't the right one.
2. How is it possible that Kobras knew such specific information as where Tony lived, what nationality he was, what his father's profession was and how the man died... and yet they didn't just know who Tony was?
Why would the gods, who supposedly value free will so highly, give mankind a mask that allows one person to control another? And for the matter, why isn't the Pumaman, the direct descendant of the gods, immune to the effects of the mask?
Vadinho is much more competent and able than Tony. It provokes the question of "What kind of a super hero movie is it when the SIDEKICK is a better hero than the hero is?" But when you think about it, Vadinho is possibly an angel or god, or at least a guy who has spent his entire life knowing about the mask, the Pumaman, and that he'd have to find him and help him. Tony, meanwhile, is a random American living in Britain with an ostensible connection to academia. Of COURSE Tony doesn't know the first thing about what he's doing! Of course he doesn't have the will-power to resist the mind-control mask. And, of course, he flies like a moron. He's just some random guy who wears a magic belt, not particularly athletic or heroic at all.
Then again, Jane doesn't have any more mental or physical training than Tony does and she manages to (eventually) fight off Kobras' mind control while Tony couldn't.
Puma Man's flight pose looks awkward because he's trying (not very well, admittedly) to emulate a four-legged running/leaping pose, like an actual puma! This is supported by the line one mook gives when explaining to his boss how Tony escaped: "That wan't a man, that was a cat jumping!" It seems if this was meant to be, however, then super jumping would have been a better super power for Puma Man than flight.