Unfortunately, how can HO know that your solicitor has been negligent ?
The question I have is the same the others have asked - why did you not make a fresh application when you finally found that your AR had been refused ?
You could have claimed exceptional circumstances for the delay in submitting the fresh application (negligence of your solicitor informing you of the rejection) and if that was rejected, you would go for JR.
But I find it tough to find a successful JR case against refusal due to lack of documents.