I have migrated the data across from zendesk and status is closed but still sitting at the open support issues under JIRA Service desk support.
If you look at the filter used for your open support issues queue, you will likely see that it is looking at resolution = Unresolved, so if you see your closed requests in the queue it means that the resolution on those requests are not set. You can fix that by creating an automation that sets the resolution, but you should also verify that the transition that moves your request also sets the resolution or have a screen that allows the agent to set it.
The automation to set the resolutions should look something like this:
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