Advice on which Shopping Plugin to use for specific purpose.

Hello everyone ,
I am faced with a rather specific task of implementing a shopping cart in a website that does the following:
-Make user accounts with their info( name etc)
-Let users add items to their bag
-DOES NOT display price of item(i guess this can just be done via deleting some of the code or commenting it out)
-Sends the selected items to the admin of the website as an email along with the info of the user.
I guess it is something like a wishlist that is sent to the admin.

Any suggestions as to what i can use and further modify to carry out the above tasks?
Any help would be greatly appreciated.