There are a few key things that you need to know about using API's with Apps Script.
1) Don't bother looking at any of the documentation for SDK's not even for JavaScript. That will not help you at all.
I don't see any SDK information in the Drive API documentation, but the documentation for other API's have SDKs.
2) Unless you are using the Advanced Drive Service then you'll need to use UrlFetchApp.fetch(url) for all the requests to the API.
What you need to focus on is the REST API.
Unfortunately, in some API documentation, the REST requests are described in terms of CURL, which you then need to decipher and convert.
The Drive API doesn't have that issue though.
3) Once you understand the basic concepts, the challenge is configuring the URL and the Request options.
For specific issues to configuring the payload for a POST request, you can do a search or ask a question on Stack Overflow.