You can re-open that run, but it will void all those checks that have been posted to QuickBooks. If you have already sent those checks out, you do not want to do this, as it will be effectively "orphaning" those checks that have already been sent out. You'll have physical checks, but no record of them anywhere.
If you've still got the checks, you can re-open the run under the Utilities> Open a Closed Revenue Run screen. This will void the checks, and allow you to make any changes to the run before re-closing.
If you've sent out the checks but need to make corrections, you'll want to do it in the next run. You can make correcting entries to reverse the original ones, and then add new correct entries.
You will need to reenter the invoices that need to be included on Working Interest Owner invoices and check the box to not post them to QuickBooks again.