I have exactly the same 2.8" SPI touch screen (as in your later picture) with XPT2046 touch controller chip.
I used this to get started. If you have the tft part wired and working, the touch panel requires only one more Arduino pin for the chip select (T_CS).
In the mean time I have gone on to develop my own calibration code using only 2 points to match accurately the coordinates of the touch screen with the tft display.