Why does my RX330 cruise control light randomly start flashing?

SOURCE: all dash warning lights came

Hatterasnc,

You're alternator has gone bad and the vehicle was running on battery power. The "clicking" sound is your now dead battery that does not have enough power to turn over the starter. You might also want to check your power steering pump for leak. This is a know problem with early LS400s and will most likey be the cause of the alternator failure. I just dropped $1050.00 to fix the very same promblems you have.

SOURCE: All warning indicators lights lit on 2004 Lexus rx330

Which lights exactly?

SOURCE: BRAKE light comes on occasionally - parking brake not engaged.

check your brake fluid it is more then likely low.You might need brakes as when they wear they take up brake fluid as the piston extends to make up for the worn pad material.

SOURCE: Lexus RX330 - "Maintence Required Light" flashes 7 times?

reset: turn ignition on...push odometer button till it displays mileage on car...not trip milage but actual mileage. Turn car off. Open driver's door, press and hold odometer button....turn ignition to on....hold odometer button for 10 seconds....odometer display will show -----,----,---,--,-,0000000....maintenance lights are reset...lights will come on every 7500 miles to remind you to change oil and check fluids etec....

SOURCE: Timing belt change interval on 2005 Lexus RX330 (Sports Luxury)

North American specs are 160,000km as outlined in Warranty and services guide.
I believe cost here at a dealer is approx $400 US, The car is capable of running well in excess of 300,000km.
My 2001 has 268,000km and counting, this is my 4th Toyota product over 250,000 km.