Is there a company logo that can/or needs to be used?

No.
Happy for you to either;
* make a logo out of the company name
* include or incorporate a simple image into or adjacent to the company name. (Like a corkscrew, wine bottle/glass outline/silhouette, etc.

Hi,

Your company name is.....!!!

Aussie Fine Wines

Do you need only logo or business card also? Please provide necessary contact details (name, phone, email, address, website)to see complete design.

Hi. I need a business card WITH company logo.
I don't have a logo as yet, but happy for you to incorporate a relevant image, silhouette, outline, etc. Alternatively, you could incorporate the commonly name IN a logo. (Making the "i" into a wine bottle or similar.
Company name is Aussie Fine Wines
Managing Director: Andrew Webster
Website: www.aussiefinewines.com
Email: Andrew@aussiefinewines.com
Twitter: @aussiefinewines
I don't want an address or phone number on the card.

Feedback please.