I would say that both of these are preoccupations or overvalued ideas, but neither reached the level of a true obsession (an ego-dystonic experience) or a true delusion (firmly believing it was true).
True obsessions are described as thus in the Examination of Anomalous Self-Experience:
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ego-dystonic (as in obsessive-compulsive disorder, the patient considers them as silly, strange, both because of their content and their involuntary intrusion) with ongoing internal resistance, and a content that is not horrid or macabre.
I took these ideas seriously and did not resist either idea.
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"You have a responsibility to consider all sides of a problem and a responsibility to make a judgment and a responsibility to care for all involved." --Ian Danskin