Hi Atma,
Glad to hear you were able to get the library set up. In regards to your first question, the reason people typically want to write data to the EEPROM of their sensor is to update information about when the sensor was last calibrated. This way the calibration information is always available to whomever uses the sensor.
In regards to your second question, yes, you can use your TEDS enabled sensor as a normal task. TEDS enabled sensors essentially save you the trouble of having to setup the sensor specifications before you use it and help protect you against using the wrong specifications for your sensor.
If you would like to read more information about TEDS, I would recommend taking a look
here.
I hope this information helps,
Paul C.