Hello @Thiago C
Welcome to the Atlassian community!
Unfortunately there is no way to recover a deleted board.
A Sprint is created within a board, but may be displayed in multiple boards. Boards display issue based on the board filter. If there is an issue within scope of the board filter (Board A) and the issue is assigned to a sprint that was created in a different board (Board B), that other board's (Board B's) sprint will show in the first board (Board A). This is because an issue can be assigned to one and only one Active or Planned sprint at a time. So, any sprint to which an issue is assigned will show up in all scrum boards where that issue is included.
In the Free product plan you would be using the Basic Roadmap functionality (unless you are using a third party app for your roadmaps).
Based on my experimentation with the Basic Roadmap functionality, the Roadmap is associated with a single board. A given Roadmap shows only the sprints that were created in the board to which the Roadmap is associated. The board may display sprints from other boards, but the Roadmap will not show those sprints. This appears to be true based on my experiments.
If you have deleted a Board, then the Roadmap for that board also is gone. Subsequently the sprints that were created in that board have no Roadmap in which they can be displayed.
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