As can be seen in the first screenshot, you did not create a Worklight project (and application). You cannot create an environment if no Worklight project and application exist.
- Create a new Worklight project
- Create a new Worklight application
- Add an environment to your application
In your Eclipse toolbar click on the Worklight icon and choose to create a Worklight project and follow the steps above, provided by the wizard.
May I suggest to also go over the IBM Worklight Getting Started training materials, which will teach you how to use Worklight. From setting up the development environment, creating new projects, to adding simple and advanced features, utilizing adapters and so on.
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Additional note: I have 2 eclipse installations that use the same Android SDK, but I think it has nothing to do with this.
That's correct. At this stage, ADT is not yet required. ADT is required only once you're ready to deploy your application to an Android emulator/device.