the amp is picking up straight signal. maybe your inputs are not properly shielded or terminated. as to the square wave, that's the opamp clipping when you dial up the gain. many ways to deal with it, using a small capacitor is one but none of that is foundamental. your approach of using one opamp may not work, depending on your circuit. the inverting end and non-inverting end in your configuration may have different input impedance, which may or may not be an issue for your design. You may want