Re. the home page, what device are you using? Is it a phone/tablet or a laptop/desktop? If it's the latter I may have a way of forcing it to show the customisation.
Re. the search and save info issue, I'm probably not the best person to ask as I don't tend to use Anc for my trees and info, I use local software and simply record the data and save any images.
However, when I do searches on Anc (or any site) I tend open result records in a new tab, so I can simply switch tab, returning to the search page tab, avoiding any page reloading. It does mean a proliferation of tabs but I'm OK with that. However, if you're using a tablet that approach could work but may be a bit cumbersome, as opening links in new tabs tends to be more long winded.