Hello Martin,
Thank you for reporting issues. We have fixed the first issue of the incorrect pin muxing of SCL/SDA. The fixed version of the data will be available in the next release.
The MKL02Z32 derivative have the SAR ADC16 device that is limited to 12bits resolution only (MCU specific). Therefore the fsl_adc16 driver is compatible to this device and it is available for the MKL02Z32.
The UART device (available on the MKL02Z32) is supported by the fsl_lpsci driver in the SDK 2.0.
Best Regards,
Marek Neuzil