Rajat

This Plugin Create a options which can provide ability to disable all or particular routes for json api.This plugin 
help to restrict the use of public credentials of website.This will protect the data such as users details of wordpress 
etc

Restrict Json Rest Api

Plugin to restrict json rest api, which you want to restrict to use from outside

elemind

Plugin will allow you to fetch the WP REST API call with a “lang” variable. 
It will retrieve the right content from WPML.
Tested with the latest version of:
<ul>
<li>WPML 3.2.7</li>
<li>WP REST API 2.0-beta4</li>
</ul>

WP REST API multilanguage (over WMPL)

Allows you to request a language with your WP-API and WPML site.

Restrict Json Rest Api vs WP REST API multilanguage (over WMPL)