In this episode, about three quarters of the way into the show, Wilson gives Cuddy a giant stuffed duck as a gift for her new child. However, the duck is shown stuffed in a crib in Cuddy's house toward the end of the episode Joy (2008).
In a double blind test, the doctor who conducts it is given a number of samples identified, in most cases, by numbers or letter-digit combinations. Neither the personnel performing the experiment, nor the patients know who gets the drug and who gets only the placebo; it is revealed after the experimental part has concluded and the results are processed statistically. This ensures that the experimenting personnel or patients themselves have no possibility of altering the result of the experiment. Considering how double blind test is shown in this episode, it is certain the writers have marginal (at best) knowledge how it actually is conducted in reality.
In the opening Jeff is in the garage attempting suicide from vehicle exhaust poisoning (typically Carbon Monoxide). Basic CPR will not "save" or awaken a victim of carbon monoxide poisoning. The CO molecules are attracted to the blood hemoglobin more than oxygen molecules. It would require an extended period of time with high flow oxygen treatment to clear out the carbon monoxide from the hemoglobin.
Cuddy's baby is very clearly a fake one.