If so, would you have to use different caselaw or a different slant?
You can raise the same errors, but you need to explain why the appelalte court's decision was wrong.
Yes, you can try to raise the same issues. In fact you would have some problems trying to raise new issues that weren't raised before. You can use the same caselaw.
The best approach is to respond according to the appellate court decision regarding the same issues.