For *indoor* sports, I would think full Auto mode would probably choose too slow a shutter speed -- especially with either of the lenses you listed, since they are both on the slower/darker side -- which would result in motion blur.
So I would at least recommened Sports mode.
Even better would be Shutter Priority (Tv) mode with a shutter speed of 1/200 or faster.
Even better would be the above -- Tv with 1/200 or faster -- combined with auto-ISO mode.
Keep in mind that, for track and field, even 1/200 may have motion blur, but the faster the shutter speed (to "freeze" the action) is, the higher the ISO will need to be (which is why I would recommend auto-ISO mode, so the camera can adjust ISO, as needed); and the higher the ISO is, the noisier/grainier the photo will be. Which is why the best option is to buy a faster/brighter lens (something with an f-number of 2.8 or lower), and why pros who shoot indoor sports often use lenses that cost several thousand dollars.
Your best budget option is probably to use one session/meet/competition as a practice to see what focal length(s) you use the most, then buy a (few) fast/bright prime lens(es) in those focal lengths.
Mark
Canon EOS 60D
18-135mm lens and/or 75-300mm
Novice photographer
Close to the action (infield pass)

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