Indicator warning lights randomly on and off

Is it the check engine light that is coming on?

Since the oil light is coming on, it can trigger the check engine light, but not the others. Just to be sure, make sure the oil is clean and full and pay attention when it happens to see if there is any ticking or knocking from the engine.

When this happens, is there any change in the engine's performance?

The intake gaskets on these vehicles are known to have issues such as coolant leaks and vacuum leaks. However, that wouldn't cause all of the lights to flash. Basically, you would either smell coolant or notice you are leaking it or the engine would run rough.

That is a tough call. Based on everything you mentioned, it sounds like a bad electrical connection or ground. Since the vehicle performance doesn't change, my guess a bad body ground causing the system to lose connection briefly. At this point, you really have two choices. First, you can wait to see if it gets worse so that someone can identify where the problem is coming from. Or, you can have a tech drive the vehicle with a scanner hooked to the computer. What he would do is drive until it happens and then review freeze frame data from the scanner to determine what caused it.