MAX31865 help - loss of resolution

Remove the following two lines from your sketch:

  SPI.setDataMode(SPI_MODE3);         // MAX31865 is a Mode 3 device

  SPI.setClockDivider(SPI_CLOCK_DIV2);

The MAX31865 is a mode 0 or mode 3 device and sets it's internal mode automatically when you pull the CS pin low. After that you probably get correct results again.

Does that help?