On the last image you're running node console which is a JS interpretator. Instead you need to use CMD to run it. Obviously you need to replace path which I posted with a full path to your js application.

Step 3 shows how to build js application using node. You'll need NodeJS installed locally along with NPM. When you have those installed, navigate that path and run the command.
Have I answered your question? If no which part of step 3 did you not understand?

Hello.
We never tried to integrate ExtScheduler with Salesforce Apex page. But we are working on Salesforce Lightning integration, adding LockerService support for new bryntum components (not based on ExtJS). Current demos only work with LockerService disabled.

Hello.
I'm afraid that's not enough information to tell what's wrong. Please provide a runnable test case and we will inspect.
Which gantt/extjs (if applicable) version do you use?

You can try this out in recurrence demo. Please provide a code snippet showing how you define event editor and how you try to disable the recurring UI.