SPI TFT library for due

Kendricks ST7735 library works perfectly with the 7735 driver. Perhaps your wiring is incorrect, especially the reset wire? Then you should check out the handshake sequence of the new driver (refer to datasheet). They should be similar enough so that adding couple lines of code should get them to talk to each other correctly. And ofc the data/command pin is very important, which is somewhat not noted in the quickstart guide.