The i2C lines must have the pull-ups; 2.2k is the value on our ref design, and we suggest you use this value. I'm wondering why you would have difficulty adding two 0402 resistors?
The EEPROM is programmed at the module-level by Murata; I suspect they use standard programming and verification techniques. I would also suspect they do a module test at final assembly which would ensure the EEPROM data is correct per the module operation.
-Leonard