Could you please point me to documentation on what files from original can go into the child theme and what can’t?

http://enfold.unisonconsulting.com/resources/bookmarks-db/
For archive, taxonomy pages this is the layout I want, without
<div class=”stretch_full container_wrap alternate_color light_g_color title_container”><div class=”container”>
being created around the archive title.

Also, I’ve copied function-set-avia-frontend.php to my child theme and edited the titles for archive pages. The changes are not showing up.

http://enfold.unisonconsulting.com/2015/09/23/daniel-pinks-required-reading/
For a regular post or page, I don’t want the title to appear inside the container with the breadcrumbs. That’s why I set Child Theme Options to display only breadcrumbs.