You are able to still view job postings after you've archived them. First navigate to the positions module, which is found as a part of the recruitment drop down menu in the navigation bar.
Click the filter button next to the search bar. Where it says deleted items, you can select only deleted to only show the archived positions or you can select with deleted to include the archived positions with the rest of the positions.
Now you can access the archived position, including the applicants.