Hi GumshoeComix! Congrats on starting your series! I post my comic in multiple places (tapas and webtoon) and it helps a lot with getting views. As AnimeKitty said, if your comic is only on your own personal site, no one can find it without a link from you, so these comic hosting sites are helpful.
With regards to your second question, here are the community guidelines from tapas, it includes a relatively detailed section about what constitutes a mature comic and what's prohibitied:
I appreciate your concern about propriety, from what you're describing that sounds like a valid story to share, but probably would need to be flagged mature. Since I don't know your story I'll leave that to your discretion. Good luck on your comic journey!