Ignition

I turn the key in my ignition and all electrical power dies instantly when its supposed to crank. Nothing unusual up until it hits "run". A minute later, power is restored spontaneously and the alarm is blaring. I try unsuccessfully to start the car a few more times, and sometimes, when power is restored, the lights are dim and buzzer is weak. Eventually full power returns by itself. In the past I have had to jiggle the key a bit it seems to get the engine to crank but never has the electric cut off suddenly like its been doing now. Is there a short or loose wire in the ignition switch and how do I test for that and replace it? 2002 Celica GTS in good shape. No other electrical issues. Is this a keyless entry reprogramming issue?

If I get a good answer here I have another mystery to solve on this car regarding poor idle when raining.