The 02 season loss to the Jets was ugly, but Peyton threw 2 INT. That said that Colts team wasn't even good. They were 10-6, and 2nd in their division and thus were playing at the Jets since they won their division over the Pats (@9-7, no less). They got rocked 41-0. Both offense and defense played horribly that game, so I'm not sure how that's a complete indictment on his play, but sure, he didn't do anything to help them win that year definitely.
I'm gonna assume you mean 03 season against the Pats and not 04 since you list 04 and 05 back to back but the Colts lost to Pittsburgh in 05. His game the Pats had his number especially Ty Law with 3? Picks. But I'm not too surprised, New England had the best defense in the league, was 14-2 (I think best in thw league) and ended up winning the AFCC at home and ended up winning the Super Bowl. I like how you can chery pick that game and completely ignore the 8 TD and 0 INT he had against Denver and KC in the two previous playoff games to get to the AFCC.
They didn't play the Pats in the 05 season but I'm presuming you mean the record breaking 2004 season. Against a Patriot team with a better record 14-2 vs 12-4 and that ended up winning the Super Bowl (not to mention with the 4th best offense and 2nd best defense in the league). Don't forget they had already beaten the Colts earlier in the season. Peyton didn't throw his only INT until the end of the game when the team was already down 14 with 12 seconds to go. That was just a great Pats team, not surprised they managed to stifle him. You also forgot the 4 TD game he had against the Broncis to make it to the AFCC again.
The 07 Chargers game was pretty rough for Manning, but not a surprise given how much he struggled against the team (Im sure you would recall the 6 INT loss he had against them earlier that season). The last interception of the game was totally on him, but the fumble by Harrison (first game back from injury) and the tip INT by backup RB Kenton Keith (both in SD territory) really broke that team. In the 4th he had no INT, had a scoring drive and couldn't score on the two drives at the end of the game when he was forced to throw being down by 4. 3 TD, 2 INT, 400 Yds is not exactly a horrible game but he didn't do enough to win, sure.
I'm not seeing what he did wrong against the Jets in 2010? Not only was it against a great defense, the Colts had already lost Austin Collie for most of the year with concussions (who was Peyton's favorite receiver - you could tell by the tear he was on early that season before the first concussion). With that said, he took them on two scoring drives in the 4th, and really only lost it when Caldwell inexplicably called a timeout to give Sancheeze the chance to make a huge play to score the game winning FG. Btw, the Colts were 10-6 that season and the Jets were 11-5. Don't forget that same Jets team went to Foxboro and whipped the Patriots as well.
Basically, you haven't really shown anything that plenty of other great QBs have shown (which is losing games in the playoffs against good competition).