Hi. First of all congratulations on your camera. It's a fine piece of equipment which can make excellent pictures in combination with the rihgt use and right glass. BTW, it is dSLR (digital single lens reflex). If it is a kit it will come with either the EF-S 18-135 or the EF-S 15-85. Neither will be sufficient.
Now about the choice of lens.
If it is true about the AO not allowing lenses bigger then 200mm, then your choices are limited, and I have to agree with cellophane: of all your options you mentioned, only the 70-200mm will do. Canon have 4 versions of that lens, IS or non-IS, f/2.8 or f/4.0. All of them are extremely good and highly recommended. Also, all 4 of them will come equipped with hoods, and all 4 of them are white: you WILL get noticed..
The most versatile version by far is the 2.8 IS version. It has it all: a wide aperture, image stabilization and a shitload of weight to carry around....
Will you be shooting mainly sport and you want to freeze the motion, you will be shooting with short shutter times. These short times make IS kind of obsolete, but will still give you a calmer picture in your viewfinder (although it will also gives you a bit of an unwanted trailing effect). The non-IS can be considered for sports photography (it is also my choice of lens for tennis matches) or for portraits when used on a sturdy tripod. The choice between f/2.8 or f/4.0 is whether you will use the lens in bad light or not. Are you planning to use the lens only outdoors and in broad daylight, than a f/4.0 will do. Will you use it indoors or at night sessions (esp. RLA!) you need f/2.8. Remember, you can't use flash, so you'll be needing as much light as possible.
As I more or less stated, I'm a Canon-shooter myself. I just came back from Linz where I took a couple of shots of which some I posted here. You can find it here: My Linz Pictures
I used a 30D and mainly a 70-200mm f/2.8 non-IS lens. I also carried a 16-35mm f/2.8, a 28-70mm f/2.8 and a 2x converter, but at times I wished I had the 85mm f/1.8 or the 135mm f2.0: the light was that bad...
Lengthwise, a 70-200 will get you close enough to the action. At times I even had to step back to a more wide-angle lens to get more of the action. The 7D is like the 30D equipped with an APS-C type sensor which give you, compared to a full frame sensor as in a 1Ds or 5D, an extra 1.6 digital zoom factor, so at 200mm the lens will give the same picture as a 320mm at a full-frame body and at 70mm it is like 112mm which can be too long, especially with doubles matches. I only used my extender a couple of times when I wanted to get closer across the entire court lengthwise. As an example, post #145 in my thread is with, #146 is without extender. Both pictures were cropped and resized to 480x640.
None of the pros I saw were using lenses bigger then 400mm. Probably also because bigger lenses come with max. apertures of f/4.0 and up. Most of them used 70-200mm, occasionally in addition with 200mm f/2.0, 300mm f/2.8 or 400mm f/2.8 primes, all of these are waayy above your (and mine
) budget. BTW, primes are lenses with a single focus range i.e. non-zooms.
I hope you got some more info. Don't hesitate to ask if you need more.
Hmmm, also a long post, and a serious one in GM. Now that's a first for me........