RPM drops & electricals turn off (split secs) when A/C compressor engages

[jeDi13]

Hi fellow Tsikoteers.

Please help me with my Civic ES A/T. I started to notice that the car has been having hard starting problem recently. It's not that often though. To quantify the frequency, maybe once a week, and no particular time of the day. But what I noticed is that after a drive (short or long distance) and then I turned off the engine, I won't be able to start the car the next time I will turn it on (for about 5-15 mins since shut down). There's a little crank at first, and then it fades away as I try it further until there's no cranking at all. But I have to reiterate that this doesn't happen always, all the time, and frequently.

But what bothers me is that starting yesterday, the RPM drops to 200-400, radio turns off, ABS and SRS dashboard lights turn on and off, A/C fan turns off (all happens in a split second), when the A/C compressor engages. The engine doesn't die nor vibrates. It's as if there's a less than a second loss of current. I fear that it will die while in use (still doesn't happen though) if I won't be able to solve the problem soon.

I've read that it could be the idle up actuator, servo, throttle body, IACV, or the A/C compressor. But please take note that this doesn't happen all the time, every time so I'm having doubts the problem could be those. How about the battery? Is there any chance it would be the culprit?

Thanks in advance.