Trigger on whenever account is updated the date field is changed then log a call with that date.

I am strucked on 
1. How to check date field is changed or  not. I need to trigger when existing date changed.
2. Unable to create activity (log a call) on record page. In debug logs getting data to insert. But on record page Call is not logging from apex.
Please help me in code.

// log a call when date field changed in account
    public static void logCall(List<Account> newMapps) {
        List<Task> tkList = new List<Task>();
            Set<Id> regIds = new Set<Id>();
        for(Account ac: newMapps){
            regIds.add(ac.Id);
        }
        
     Map<Id, Account> mapAcc = new Map<Id, Account>([select id, name, support_plan_start_date__c FROM Account WHERE ID IN :regIds]);
            system.debug('mapAcc'+mapAcc);
        for(Account a : newMapps){
            system.debug('77'+a.support_plan_start_date__c);
            system.debug('78'+mapAcc.get(a.Id).support_plan_start_date__c);
            if(a.support_plan_start_date__c == mapAcc.get(a.Id).support_plan_start_date__c || a.support_plan_start_date__c >mapAcc.get(a.Id).support_plan_start_date__c || a.support_plan_start_date__c <mapAcc.get(a.Id).support_plan_start_date__c){
                  Task newtask = new Task();
            newtask.Description = 'Log a call when datefield changes';
            newtask.Priority    = 'Normal';
            newtask.Status      = 'Completed';
            newtask.CallDisposition = 'CallBack';
            newtask.Subject     = 'Call';
            newtask.CallType    = 'OutBound';
            newtask.IsReminderSet = true;
            newtask.ReminderDateTime = System.now()+1;
     //     newtask.WhoId      = Trigger.new[0].Id;
            tkList.add(newtask);  
                }
        }
        system.debug('tkList'+tkList);
        try{
        if(tkList.size() > 0){
            insert tkList;
            }
        } catch (DmlException e) {
            system.debug('Exception caused'+e.getMessage());
        }
    }

Thanks in advance