Yes, that I just added a little while ago, doesn't answer the main issue though. I can move the query out of the loop, but that still leaves the issue of how to bulkify this, and I don't think I can. If there is a mass insert of accounts or contacts, there isn't going to be a way to query for the events for each one to get the most recent and most recent future events.

Besides adding the reference to make sure  it's associated with the account, I was doing this in a dev sandbox, and only had one account created anyway, I moved the queries out of the loops and I have a check on the size of the accountId LIST, if it's not equal to 1, then it throws a custom error to deactivate the triggr for a mass load. I think the nature of this will only allow it to work on a single record, since I still have to reference the index of the getEvents queries.

Like I said, I have something that will ultimately work, but if possible I'd like to get it to conform to best practices as much as possible.

trigger setLastEvent on Event (after insert) {
   	MAP<ID,Date> mapAccount = new MAP<ID,Date>();
    MAP<ID,Date> mapContact = new MAP<ID,Date>();
    //loop through trigger.new to get all of the what and who id's and add them to  
    for(Event e : trigger.new){
    	Id what = e.WhatId; 
        Id who = e.WhoId;
        if(lastEventUtility.isAccount(what)){
        	mapAccount.put(what,e.ActivityDate);
        }
        if(lastEventUtility.isContact(who)){
        	mapContact.put(who,e.ActivityDate); 
        }
    }
    //queries for account & contact id's in the maps for loops, and creating update LISTs for DML
    LIST<Account> accountIds = [SELECT id FROM Account Where Id IN: mapAccount.keySet()];
    LIST<Account> updateAccount = new LIST<Account>(); 
    LIST<Contact> contactIds = [SELECT id FROM Contact Where Id IN: mapContact.keySet()];
    LIST<Contact> updateContact = new LIST<Contact>();
    LIST<Event> getPastEvents = [SELECT id,ActivityDate
                                 FROM Event 
                                 WHERE ActivityDate < :varToday AND WhatId = :a.id
                                 ORDER BY ActivityDate desc
                                 LIMIT 1 ];
    LIST<Event> getFutureEvents = [Select id,ActivityDate
                                   FROM Event
                                   WHERE ActivityDate > :varToday AND WhatId = :a.Id
                                   LIMIT 1];
    Date varToday = Date.Today(); 
    
    //loop to make updates
    for(Account a : accountIds){
        if(accountIds.size() == 1){
        a.Last_Meeting2__c = getPastEvents[0].ActivityDate; 
        a.Most_Recent_Meeting__c = mapAccount.get(a.id);
        updateAccount.add(a);
        }
        else{
        	a.addError('You cannot insert more than one account without the setLastEvent trigger deactivated');
        }
    }
    update updateAccount; 
}