LCD Back light
I believe you are mis-interpreting the datasheet. The LED backlight requires a 5V power source. This will typically consume approximately 100mA. However, it does not require a power source that regulates BOTH voltage and current. Such a supply is not possible since you do not have two degrees of freedom. You can either regulate for constant voltage or regulate for constant current. When you regulate for constant current, the output voltage varies to keep the current constant. When you regulate for constant voltage, the output current varies to keep the voltage constant.
Many regulator IC will operate your LED backlight. Since the CMOS logic of the LCD panel also requires 5V at typically around 25mA, I would suggest the LM7805 linear regulator. Depending on the package, it can provide currents up to 1A. Pick a package option to allows at least 250mA of current to allow for adequate safety margin.
Note: Since the LED backlight is the majority power requirement on 5V, it is given a separate pin and specified separately in the datasheet to allow the user to place a switch in the LED circuit to conserve power when the backlight is not needed.