"Do you know if the CRP level is normally included in a regular blood test?"

No, CRP levels in blood are not routinely measured right now as commonly as things like LDL-C, HDL-C, triglycerides, glucose, etc. But some are pushing for its routine measurement, especially in patients with CVD risk, after the results of the recent CANTOS trial. Dr. Paul Ridker, the lead investigator of the CANTOS trial, is a huge proponent of its routine measurement.  I wouldn't be surprised if its measurement became more common in the near future. Here are some good resources and background.

https://www.medscape.org/viewarticle/519642

https://agoracom.com/ir/Resverlogix/forums/discussion/topics/700554-cantos-and-cirt/messages/2176780#message

https://www.resverlogix.com/investors/news?article=580

https://www.resverlogix.com/investors/news?article=494