Difference Between Lenses?

$1300:
Sigma 70-200mm f/2.8 APO EX DG HSM OS FLD Large Aperture Telephoto Zoom Lens for Nikon Digital DSLR Camera

$900:
Sigma 70-200mm f/2.8 EX DG HSM II Macro Zoom Lens for Nikon Digital SLR Cameras

is it worth it to spend the extra money to buy the $1300?

I will be shooting:

football (100 yard field) at noon(sun) and at night with artificial lights.

Soccer (outdoor field, about 200 feet by 100 feet). The soccer is at night with artificial light

basketball (indoor with full artificial light)

i don't know too much about lenses, but i know i would need a 2.8 with a far zoom like 200 or 300

what should i buy? Should i buy 2 lenses, one far for football and one short for basketball?

I want CLEAR pics with No motion blur and good light

Soccer Video:

Basketball Video:

i shot those vids

The optics are similar, but the more expensive lens has image stabilization. This can make a big difference for still photography.

If you are planning on using the lenses for video only, the stabilizer will not be that effective. For video, get the cheaper lens and a quality tripod.

Is it worth it to spend the extra money to buy the $1300?

not if you're only doing video. The image stabilization won't help you much with pics either because you'll need high shutter speeds to freeze action which will reduce camera shake problems anyway. Stabalization really helps when you're using slow shutter speeds - doesn't sound like you need that