Cenvat Credit on Export

Hi all. I have one query to you people.

Company X has two divisions i.e. export of product and export of service. That Comapny takes input credit of service tax on both divisions. But there is no output service tax to set off these.(since export of service is exempt). Now my question is;

1. whether that company can take whole input credit of service tax on both the division? because first divison is exporting product ?

2. Whether export of product is taxable under service tax?( If i say clearly product division means a packaging unit)

3. Can company get refund of whole service tax input credit from the department?

Thanks