No, too small a current won't fry a circuit. Not enough resistance will cause a flasher to flash faster. This will happen when one bulb burns out on an incandescent system. That's why your front flashed faster when it worked. They make special flashers for LED systems but I don't know how they work on a split system.
But that's not your problem. It appears you have an open circuit. Use your multimeter to find it.
