Level Shifting & Amplification
I wouldn't bother with the analog amplification or the RC filter to DC part. Just turn the AC into full wave rectified DC. I assume that if you have a ADC and an EEPROM that you're using a uController. If so, create a simple peak check algorithm (if current value is less than previous value within time frame, then you're at peak). You could take the last 5-10 or whatever peaks that you've found and average them to get a more precise measurement.

Amplification and level shifting you're trying to accomplish with op-amps will introduce offset errors and multiplication errors, so you won't gain any accuracy. Just use the 1.3 to 2.2 V signal you have now directly into the ADC.

FiddyOhm makes a good point. If you want to full-wave rectify this, you'll gain a lot more accuracy at the low end by using lower voltage drop Schottky diodes.