Seems you have a battery issue as stated above. Same lights as I had....soon you start experiencing 'symptoms' related to those lgihts. Basically your battery is showing low voltage and those related lights and systems will think you have an issue.
A new fresh battery should help.
01 Z3 2.5i Sapphire Black, 01 Z3 2.5i Topaz Blue, 06 Z4 3.0i Jet Black
ZSCCA Area Rep and Member Prairie CruZers