Hello lotsoffun,
Please review the information below in regard with the first two questions:
Sources of offset errors are due to device to device offset variation (trim errors), mechanical stresses (mounting stresses), shifts due to temperature and aging. Performing auto-zero will greatly reduce these errors. The amount of error correction is limited by the resolution of the A/D.
So I do recommend to review the application note below in order to correct the sensor's output:
Implementing Auto-Zero for Integrated Pressure Sensors
I do also recommend to use +5.0V to power supply this device and use one 1.0uF and one 0.01uF decoupling capacitors placed close to Vs pin of the pressure sensor, and a 470pF capacitor close to the Vout pin as an output filter capacitor.
A gauge pressure sensor measures the pressure at its port with respect to the local atmospheric pressure, so answering your last question, the reading should be the same at air pressure room and at sea-level.
Note that, when positioning the sensor in your application, it is important that the vent is open to the atmosphere. Besides, NXP warranties its pressure sensors for clear air only and its customer’s responsibility to validate and estimate the behavior of the device in media other than air.
I hope this information will help. Please let me know if you have any further question.
Best Regards,
David Diaz