Hello Amrender,

I tried this approach (adding getAccount() yesterday but it worked 50%. In fact I can consider this question solved though because:

CASE 1: no accounts available when opening the app. Your updated solution works, because it redirects me directly to the homepage.
CASE 2: I do an action on the last available account, and I switch to the next one (not available though). In this case your solution does not work, but I found a workaround myself. See below code snippet:

public Account getAccount() 
    {
        List<Account> accList = [SELECT Id, Name, Last_Status__c,Additional_Information__c,Ongoing_Problem__c,Last_Update__c FROM Account WHERE (OwnerId = :UserInfo.getUserID()) AND (Type <> 'Dead') AND (Last_Update__c < LAST_N_DAYS:150) 
        						ORDER BY Last_Update__c LIMIT 1];
        if(!accList.isEmpty())
        {
            account=accList[0];
            contacts = [SELECT Name, Phone, Email, Role__c, Area__c FROM Contact WHERE (AccountId = :account.Id) 
                        AND ((Role__c = 'Head') OR (Role__c = 'Owner') OR (Role__c = 'Staff')) AND ((Area__c =          'Music') OR (Area__c = 'IT') ORDER BY Role__c LIMIT 7];
        }
        else
        {
            account = new account(); 
            account.Last_Status__c = 'CONGRATULATIONS! NO MORE ACCOUNTS TO BE CONTACTED. PRESS "EXIT" BUTTON';
            contacts = [SELECT Name, Phone, Email FROM Contact WHERE (AccountId = :account.Id) LIMIT 0];
        }            
        return account;
    }
   
   public List<Contact> getContacts()
    {
        if(contacts == null && account.Id != null) 
            contacts = [SELECT Name, Phone, Email, Role__c, Area__c FROM Contact WHERE (AccountId = :account.Id) 
                        AND ((Role__c = 'Head') OR (Role__c = 'Owner') OR (Role__c = 'Staff')) AND ((Area__c = 'Music') OR (Area__c = 'IT'))
                        ORDER BY Role__c LIMIT 7];
		return contacts;
    }

I display an empty account but I manually fill in a field (which on my page is a big editable window) with instructions for the user ("PLEASE EXIT"). Elegant? No. Enough for my purposes? Yes.
About the contacts lines you kept suggesting me to delete, but I kept in the final version: for how my VF page is structured, they are necessary. The absence of contacts = [SELECT ... LIMIT 0]; made me appear the contacts of the previous valid account in my final "goodbye" page, while the absence of method getContacts() (which should be useless per se, I agree with you) created sometimes reading problems. 

THANKS A LOT FOR YOUR PATIENCE!

Have a nice day/week/month/year!

Cheers, Andreas