I am trying to use a same VF component more than once in a VF page. I can see that the last used component alone works fine and the others give no response. 

Could anyone please tell if there is a problem in using the same component twice? 

Below are the generic code with standard objects for your convenience:

Component :

 <apex:component controller="ContactEmailController">

<apex:actionFunction action="{!dispFunc}" name="callFunc"/>
<apex:inputField value="{!opp.accountId}" onchange="callFunc();"/>
{!accnt.Name}
</apex:component>

Component Controller :

public class ContactEmailController {

public Account accnt{get;set;}
public Opportunity opp{get;set;}

public PageReference dispFunc(){
if(opp.AccountId!=null)
accnt = [select id, name from Account where id=:opp.AccountId];
return null;
}

public ContactEmailController(){
accnt = new Account();
opp = new Opportunity();
}
}

Page using the component :

<apex:page >
<apex:form >
<c:ContactEmail />
</apex:form>
<apex:form >
<c:ContactEmail />
</apex:form>
</apex:page>

I am trying to get this working for a long time now. Please help.

Thanks in advance.