The minimum operating voltage for the op-amp you chose is 8 volts. You are running on 5 volt. Looking at other parameters in the data sheet that device is totally unsuited for what you want and even on a supply as low as 8 volts you would have no guaranteed input common mode voltage range.
Looking at your schematic just in case, and I see you have the +Vin pin biased at 0 volts - at the very least, for amplification of an AC signal this would need to be biased midrail. Choose a better op-amp suited for low voltage supplies and bias +Vin correctly.