It sounds like a bit of overengineering to me. Why do you need a PIC at all? Maybe no need for the current transformer, either.
If I were to design something like this, I'd probably use a simple wire shunt followed by a differential (or instrumentation) amplifier followed by a rectifier, an RC filter, and a comparator (with hysteresis), or, if the voltage drop on the shunt is sufficient, only filter+comparator. No need for a precision rectifier then, either (as long as you have, say, at least a volt or two across the shunt), just clip the negative half of the wave using a Schottky diode from ground to shunt output, and adjust the RC filter accordingly to have a decent level on the output suitable to feed into the comparator.
As far as EMI-induced false positives, it won't be an issue with the shunt approach, at least if you keep the signal traces short. Probably not even with the CT. What voltages are you getting on the CT's output?