I feel the following sutta is directly relevant to your line of enquiry.MN 141: Saccavibhanga Suttahttp://www.accesstoinsight.org/tipitaka ... .than.html
Often when quoting suttas, I'm inclined to just paste in the relevant extracts, but I think the entire sutta is relevant in the case.
When reading it, in light of your line of enquiry, I would recommend taking account of:
1. The delineation of the "declaring, teaching, describing, setting forth, revealing, explaining, and making plain the four noble truths in detail" role of Sariputta as a teacher, versus that of Maha-Moggalana as one regarded as being proficient in the jhanas. As Thanissaro notes via his footnote, "The Buddha declared Sariputta to be foremost among his disciples in terms of discernment; Moggallana, foremost in terms of psychic powers. It might seem strange, then, that Sariputta takes on what seems to be a lower job, but as many Buddhist teachers have commented, it is much harder to train an ordinary person to enter the stream than it is to train a stream-winner to reach the highest goal."
2. Sariputta's training syllabus, taking particular note that "Birth is stressful, aging is stressful, death is stressful; sorrow, lamentation, pain, distress, & despair are stressful; not getting what is wanted is stressful." is equated with "the five clinging-aggregates are stressful." Thus, the stressful things listed, are aspects
of the five aggregates (as compared to a practitioner/puggala possessing five aggregates, to whom these events of birth, aging, death, etc. occur) and being thus, they themselves are subject to the three characteristics (of which, interestingly, anicca and anatta make no explicit appearance in the sutta).