An employment contract is most useful when you can connect each clause to what will actually happen at work. Keep the Korean document and any translation together, and mark questions where the wording differs. Do not replace the employer's original with your annotations.
An official portal helps you find the responsible service, but a visible menu item does not establish that you qualify or can complete the application in English. Start with the task you want to complete rather than collecting unrelated forms.
When pay is missing, begin with a clear timeline. A long message mixing several months, different employers and estimated amounts is harder to check than a short set of organized records. Preserve originals before making a working copy.