What could be causing lights to be flickering and multiple breakers tripping and won't reset?
Personally, I'd flip the master breaker and shut everything down until you know what is going on.

Something is seriously wrong with your wiring system, possibly the breaker panel itself has developed a really bad internal fault with how the breakers attach to the bus bars.

We just lost a house across the street due to a wiring fire as of 30 minutes ago.