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Personal name visible with premier account ?

Yes.. You will need a Business account to display a company name !!
 
On both cases people would see you PayPal name. And as far as I think there is no critical wrong in it. It won't be easy for them to hack a PayPal password and this is not much to worry about.
 
Personal and Premier accounts will show the user's full name. If you want to hide your name under your Business's name, go and make a Business account. I personally prefer Business accounts.