3-axis accelerometer readings

If the due and the module are both low voltage devices ( are they ? I'm not sure, you should check ), then you won't be having the sort of problem that occurs trying to connect 3.3 and 5 V devices together.

I2C works by having both the clock line and the data line at 3.3V and the microcontroller and the sensor communicate by trying to pull the line down towards ground voltage.

If the resistance of the pull-up resistor is too low, it gets too hard for the devices to pull the voltage in the line down. If the resistance is too high, it takes too long for the voltage to rise again.

The normal voltage in the two I2C lines should be whatever your Vcc voltage is. Say, 3.3V. It should not be 2.4V unless you have a 2.4V system voltage.