The 'handbrake' light is a secondary function. It is a brake failure warning light, often just for fluid level. It doubles as the handbrake light to test it every time the handbrake is used. This ensures it is functioning when necessary.
A faulty handbrake light switch can cause problems, but will not usually illuminate any additional lights.
Fluid level low will usually only trigger the one light.
As the ABS light is on, this points at an ABS fault, two lights on may be a function of the warning, to ensure it gets the driver's attention.
If you've checked the fluid level, and the handbrake switch, you can also visually check the wiring from each wheel sensor. These are in vulnerable locations and can be damaged by road debris, twigs, plastic bags, etc.
If visual checks don't locate anything obvious, before replacing anything, the system needs to be read by either the dealer diagnostic machine, or better,
MultiECUscan (
MES) (Lots of threads on here about this wonderful piece of software). A system read will probably pinpoint the location of whatever sensor or component the ECU is unhappy with. A standard code reader will not read ABS codes, as the diagnostic standard is for powertrain only.
If you update your profile with your location, there may be someone nearby with
MES willing to help.