I have written this till now not sure how to proceed with the ownercount thing.


global class qaCreateNewRecords implements Database.Batchable<SObject>, Database.Stateful {

    global Database.QueryLocator start(Database.BatchableContext bc) {
        //first, you gather all the records you want to create a new record with
        String query = 'Select Id,Ownerid,STS__c,Origin,CreatedDate,Status from Case WHERE STS__c= true';// AND Origin = Phone AND Status = Closed'; //&& CreatedDate >Last_Week' ;
        //below checks to see if the batch is being called from a test class. If the record count
        //returned by the query above is over 200, the test will fail
        
       if(Test.isRunningTest())
        query  += ' limit 200';
        return Database.getQueryLocator(query);
    }
    
    global void execute(Database.BatchableContext bc, List<Case> originalrecords){
        //now we want to loop through the records from the query above and create the new records
        //and store them in a list
        List<QA_Scorecard__c> newrecords = new List<QA_Scorecard__c>();
        
     //   Group queue = [SELECT Id FROM Group WHERE Name = 'QA_Scorecards' and Type = 'Queue'];
      
        for(Case yo1 :originalrecords){ // this is the loop
            QA_Scorecard__c yo2 = new QA_Scorecard__c(); //this sets up a new record to be created
            yo2.Agent__c= yo1.Ownerid;
            yo2.Case_1__c= yo1.id;
            yo2.Ownerid = '00Gc0000001YLhX';
            //add any other fields on the new record that you want to set
            newrecords.add(yo2); //add to list to insert into SFDC later
        }

        //this checks to see if there are any records to insert. If there are, then it will 
        //create them
        if(!newrecords.isEmpty())
            database.insert(newrecords,false); 
        //newrecords is the list of records you put in during the for loop. The "false" is saying,
        //if one records fails to insert, still insert the rest (All or Nothing)
    }
    
    global void finish(Database.BatchableContext bc) {}
    
    }