I hear my pump run on start up for about 30sec. I just started getting this p0410 code a week ago. should i start with the check valve as my first place to diagnose the problem?
Yes. Start by removing the hose from the check valve. Make sure you hear exhaust noises from the valve on a cold start, and feel the turbine pump blowing through the hose.
It could also be a sluggish O2 sensor if the test above works.