@Tahor-Sui-Juris I think that your requirement is to display data from your database in a website using ParamQuery Jquery plugin and also save the data back to the database if changes are made in the ParamQuery grid.
You can create a simple API like this - https://jsonplaceholder.typicode.com/ in any language. Let's say you build an API called myawesomeapi.com. You can create 2 API endpoints, one endpoint to fetch data - myawesomeapi.com/get and one to save data myawesomeapi.com/save
So everytime when someone loads your website, you make an ajax call to myawesomeapi.com/get which will respond with JSON data, use it and initialize paramQuery. When user makes changes to data and clicks save data then make a call to save endpoint which saves the data. This is how It's done in most of the apps.
Because You don't have experience building APIs, I would suggest you to get started using myjson.com
myjson.com is a simple json storage service which supports storing and updating json data. But all the data is public (Use it only for testing). You can use this with some fake data to store some json, pull it on your website, display the data in paramquery and also update data using a PUT request. Check the documentation here - http://myjson.com/api
Once you understand how stuff works then you can build your own API in any language. Try Node.js for you first API
Hope that helps!