Sounds like you have some serious graphical issues. Are your drivers all up to date? Is your graphics card supported?
I have neither the hair problem nor the Spore problem. I launched Sims 3, played my family for a bit, went into CAS (where I noticed no anomalies with hair) and then quit and launched Spore without a problem. I then ran Sims 3 again, followed by Spore AGAIN, and still no problems.
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