Thanks for the code snippet! I dug into our Site Search jQuery repo a bit more and it looks like we don't actually have any examples / may not technically support having multiple calls of .swiftypeSearch() per input/per page. @JasonStoltz, can you confirm whether this is a supported or unsupported part of the plugin?
Re: jQuery library setup - very possibly the case, yeah 
Unfortunately it's an older plugin that predates my time at Elastic, so I'm not sure where we're at on current planned development for it.