answer:Solution: (1) From the given information and the sine rule, we get: (2sin C-sin A)cos B-sin Bcos A=0, which simplifies to 2sin Ccos B-sin (A+B)=0, In triangle ABC, since sin (A+B)=sin C, we have sin C(2cos B-1)=0, Since Cin(0,pi), it follows that sin Cneq 0, Therefore, 2cos B-1=0, which leads to B= frac{pi}{3}. So, the answer for part (1) is boxed{B= frac{pi}{3}}. (2) Since sqrt{3}(sin A+sin(C-frac{pi}{6}))= sqrt{3}sin A+sinleft(frac{pi}{2}-Aright) = sqrt{3}sin A+cos A=2sinleft(A+ frac{pi}{6}right), and Ain(0,frac{2pi}{3}), it follows that A+ frac{pi}{6}inleft(frac{pi}{6}, frac{5pi}{6}right), Therefore, sqrt{3}(sin A+sin(C-frac{pi}{6}))=2sin(A+frac{pi}{6})in(1,2]. So, the answer for part (2) is boxed{(1,2]}.

answer:Absolutely, a coral or peach-colored lipstick could beautifully complement a blue dress. You could also consider a pink or a nude shade for a more subtle look. However, it also depends on your skin tone and the shade of your dress.

answer:Absolutely, with your fair skin tone and darker blue dress, a classic red lipstick could work wonderfully for a bold, contrasting look. If you're after something more subtle, a soft pink or nude color would also look beautiful. The ultimate choice should be something that makes you feel confident and comfortable.

answer:With a blue dress and red lipstick, you might want to keep your eye makeup subtle to avoid overpowering your look. You can consider neutral shades like beige, light brown, or champagne for your eyeshadow. A thin line of black or brown eyeliner and some mascara would add emphasis to your eyes without clashing with the boldness of your dress and lipstick. If you want to add a bit of color, consider a touch of gold or bronze eyeshadow.