Doesn't sound like she's having any trouble learning. Just a heads up many people here won't approve of your "love taps", not a fan myself, especially since she seems to be doing her side of the puppy/owner relationship well.
For the jumping up, it's a problem, but pushing her back down is why she takes it as play (I realize its difficult to avoid).
@both the jumping and carpet chewing, prevention is probably your best bet. Link reacts to me saying "down" when I see him showing signs of jumping, and his jumping has gotten better. Jumping will not go away quickly. With the rug, keep her away from rugs unless you're watching her, even if that means being crated more.
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