Back to the question at hand...

I believe some of the LX's came with smaller rotors on them. If memory serves me correctly, they were the non ABS rotors that were smaller. I think there are only two sizes available for the 96-98 civics. The best way to find out is to measure the diameter of your rotor. The smaller ones were 9.6(?) inches and the bigger ones were over 10 inches.
I have the smaller sized rotors on my car. I replaced them with brembo blanks after a poor quality set of aftermarket pads messed up my OEM rotors. I now have the brembos with OEM pads, braded hoses, and high temp brake fluid. At the rear, I'm running OEM shoes with brembo drums. As of yet, I have not had a problem with them. They work nice stop the car when I need to at an affordable price. ($50 for the rotors, $30 for the pads, $20 for the shoes, $70 for the drums, $120 for the hoses, $10 for the fluid)