The Traits (mini-feats) and Alternate Racial Traits (modify race features) you've listed come from a variety of sources, none of which are the Advanced Players Guide. Most come from the books in the Player Companion and Campaign Setting lines.
You can check which book(s) you need to own and have enabled in Hero Lab at the Archives of Nethys:
Gnome (all Alternate Racial Traits) -
Clever Wordplay -
Fey Protection -
Self-Taught Scholar
Hope this helps.