Using this Library, you have the option of using either SPI or I2C to communicate with the ADXL345. It is fairly reasonable to use and straight forward. You will also be able to calibrate the ADXL345 ...
Run in the Arduino IDE the HelloWorld example with an ili9488 in SPI. In fact, you don't need an ili display to try this, because it fails at compile time. The possible wiring errors, are irrelevant ...