The lights are:
brake pad warning lamp,
oil level warning lamp,
washer fluid warning lamp,
coolant level warning lamp,
fuel lamp.
When you turn on the ignition, they light up for about 2 seconds then either go out if all the levels are ok, flash if you have a fault on that particular circuit or stay on if you have a low level.
On mine, start it up, they all come on with the ignition then when the engine is running 2 of the amber lights (brake pad wear indicators and engine oil level: bottom left and bottom 3rd left)) flash around 1/2 dozen times then stay off.
This is because my dipstick connector is not connected to anything, and the brakes & calipers are S2 ones so probably haven't had the wear indicator wires re-fitted. So the car is telling me that those 2 circuits are not working at all & will not illuminate if there is a problem with these circuits (as in low oil, or low pads).
As for getting them working: all depends on which ones are knackered in the first place.
brake pad warning lamp : sensors prob disconnected from the calipers or wires cut.
oil level warning lamp: fit new dipstick, or connect wire if it is still there
washer fluid warning lamp: not sure on this: not had proper look at one off the car, but guessing similar to the header tank
coolant level warning lamp: this is the 'filler-cap' at the bottom of the header tank.
fuel lamp: Make sure the bulb works. Think it's a new sender unit if it doesn't. Or maybe try totally filling the tank, as the sender is a 'float' & may be stuck up the top & refilling may re-float it.