The punishment was a package, so any appeal would address all issues together.
The timing point is being made out as an issue that it isn't. As the appellant, you want an urgent appeal, not a delay - you want a wrong rectified without delay. Same day or short delay appeals are common.
There shouldn't be a need to spend ages preparing for an appeal of that sort. Our case was that the panel got it wrong based on the evidence, the rules and any precedent. Any credible legal team should know how they say the panel got it wrong, and be able to take that into an urgent appeal.