To reiterate what has been documented elsewhere, Squarespace have not added a Search option to the 7.1 header because search does not work correctly on Squarespace 7.1. You can use code to add a search option, but you won't be able to fix the broken internal search engine.
To lobby Squarespace to fix this, you'll need to contact Squarespace Customer Care to log your concern. They don't follow posts in the forum (see guideline 6).