I do not think it should matter no...Here is all of my code: the update to account works but when I tried to delete the task and get the most latest task that completes the requirement it errors out meaning after i placed in After Delete in there..

trigger Last_CBM_F2F_Meeting_trg on Task (after insert, after update, after delete) {

    // Get related identifiers on the task set
    Set<Id> relatedIds = new Set<Id>();
    for (Task indivTask : Trigger.new) {
        if (indivTask.WhatId != null) relatedIds.add(indivTask.WhatId);
        
    }
   
    // Get back from account - if they point to other objects it won't matter here
    Map<Id,Account> accountMap = new Map<Id,Account>
    ([Select Id, Last_CBM_F2F_Meeting__c, Last_CBM_Meeting_Request__c From Account Where Id in :relatedIds]);
   
    // Accounts for updates.  Use a map so if there are more than one task in the triggered batch for the same account
    // then repeat related refs get overwritten so we only keep the latest one
    Map<Id,Account> accountsForUpdate = new Map<Id,Account>();
   
    // Loop through triggered set
    for (Integer i=0;i<Trigger.new.size();i++) {
       
        // Process only if insert or the picklist has changed
        if ((Trigger.isInsert) || (Trigger.old[i].ActivityDate != Trigger.new[i].ActivityDate && Trigger.old[i].RecordTypeId=='01230000000YFxgAAG' && Trigger.new[i].Activity_Type__c=='Meeting - Face to Face' || Trigger.old[i].Activity_Type__c != Trigger.new[i].Activity_Type__c || Trigger.old[i].LastModifiedDate !=Trigger.new[i].LastModifiedDate)) {
           
            // only continue if we are related to an account
            if ((Trigger.new[i].WhatId != null && Trigger.new[i].RecordTypeId=='01230000000YFxgAAG' && Trigger.new[i].Activity_Type__c=='Meeting - Face to Face') && (accountMap.get(Trigger.new[i].WhatId) != null)) {
           
                // Put the changed value in the map for update.
                accountsForUpdate.put(Trigger.new[i].WhatId,new Account(Id = Trigger.new[i].WhatId, Last_CBM_F2F_Meeting__c = Trigger.new[i].ActivityDate));
            }
        }
/********************************Last_CBM_Meeting_Request__c********************************************************************************************************/
        // Process only if insert or the picklist has changed
        if ((Trigger.isInsert) || (Trigger.old[i].ActivityDate != Trigger.new[i].ActivityDate && Trigger.old[i].RecordTypeId=='01230000000YFxgAAG' && Trigger.new[i].Activity_Type__c=='Meeting Request' || Trigger.old[i].Activity_Type__c != Trigger.new[i].Activity_Type__c || Trigger.old[i].LastModifiedDate !=Trigger.new[i].LastModifiedDate)) {
           
            // only continue if we are related to an account
            if ((Trigger.new[i].WhatId != null && Trigger.new[i].RecordTypeId=='01230000000YFxgAAG' && Trigger.new[i].Activity_Type__c=='Meeting Request') && (accountMap.get(Trigger.new[i].WhatId) != null)) {
           
                // Put the changed value in the map for update.
                accountsForUpdate.put(Trigger.new[i].WhatId,new Account(Id = Trigger.new[i].WhatId, Last_CBM_Meeting_Request__c = Trigger.new[i].ActivityDate));
            }
        }
        // Process only if insert or the picklist has changed
        if (Trigger.isDelete){
           Task tk =[Select ActivityDate from Task where id=:Trigger.old[i].id AND RecordTypeId='01230000000YFxgAAG' AND Activity_Type__c='Meeting Request' AND WhatId != null Order by ActivityDate DESC Limit 1];

                accountsForUpdate.put(Trigger.old[i].WhatId,new Account(Id = Trigger.old[i].WhatId, Last_CBM_Meeting_Request__c = Trigger.old[i].ActivityDate));
            }
                
/****************************************************************************************************************************************/
        
    } // end loop through triggered set
   
    // Create a list of accounts for update.  Only include them if the latest value
    // has actually changed
    List<Account> updateAccounts = new List<Account>();
    for (Account updateAccount : accountsForUpdate.values()) {
        if (updateAccount.Last_CBM_F2F_Meeting__c != accountMap.get(updateAccount.Id).Last_CBM_F2F_Meeting__c) {
            
        }
        if (updateAccount.Last_CBM_Meeting_Request__c != accountMap.get(updateAccount.Id).Last_CBM_Meeting_Request__c) {
            
        } 
        updateAccounts.add(updateAccount);       
    }
   
    // If there are any changed accounts then issue the update
    if (updateAccounts.size() != 0) update updateAccounts;
} // end trigger