Migrating Debut Theme to Algolia

I'm migrating a (possibly modified) Debut Theme to Algolia Search

Somehow, the original search results (drop-down drawer) still appear underneath the Algolia autosuggest. 

Additionally, the original search bar still appears on the Search page, above the (new) Algolia search bar. 

I've been trying to hide the original search bar (which I can if I hide the header), but we still want the original styling. 

Any idea how to accomplish this? 

Thank you!