Do you have to pay insurance adjusters if they didn’t get you anything a lawyer did.

Unfortunately, this question falls within the majority of construction related matters for which little by way of guidance can be provided in an internet forum.  Construction typically require review of the actual terms and conditions of the written agreements together with an analysis of the specific facts for any sort of substantive response.   For this matter, a review of the contract(s) with the public adjuster and/or the remediation contractor is likely required.  Since you apparently are or were already represented by counsel who has knowledge of the factual background of this matter, it would be prudent and likely most cost effective to discuss these issues with your existing counsel.