...lol. If it's a first try, then it shows potential. Here's some tips to do good from Old McPsyBorg:
First off, the boosters that put you high in the air actually slow you down. You've got to move to the side, start a spindash and aim for the next area manually to get a better time.
Since you're TAing, I will restate SBW's point: use Chaos Control, dammit! It saves you craploads of time when timed right. Just kill some Black Aliens to get it, and then press Y (or if you don't use Gamecube, the somethingorother button).
Obstacles are hard to get around, but trust me, once you find an alternate way, it's MUCH easier. Evade the enemies to get a better time.
Don't just jump over things if you can't find an alternate way around them. Jump and then use a Homing Attack to get back at least some of your speed. It's useful to say the least.
You don't need to go on the airlifts that slowly bring you to the next platform; simply dash around the first 2 and you can reach the jewel quicker.
Last but not least, use the S- nevermind, you aren't anywhere near the end of the game, so you can't TA as well. Sorry. X)
That's all I feel I should say, any other skill should be developed by ye on your own. Good luck next time if you try again; it'd be nice to have some competition again.