You could probably fix these problems by specifically asking for recent examples, in the last few weeks. Also, note I might've picked an unusually upsetting personality question. If upsetting participants is a significant issue, choosing questions and personality metrics carefully could ameliorate things.

Also note that accurate personality assessment is not the primary goal here. In theory, it could be a good exercise even if it doesn't provide accurate personality assessment.

In fact, you could even discard scientific pretense altogether, and just have participants complete one of those "Which Harry Potter character are you?" type quizzes, but thinking of specific examples.