Ok sorry. I start from the beginning.
I had a shop on Prestashop 1.4, that I upgraded to 1.6 with the 1-click-upgrade module (juste to have the good number of columns in the tables of the database)
Then I exported all the tables (of the upgraded Prestashop) relevant to the orders and customers with this PHP code :
<?php
system("mysqldump --host=databasename.mysql.db --user=xxxxxxxxxxxx --password=xxxxxxxxxxxx --default-character-set=utf8 --no-create-db --opt --tables databasename ps_access ps_address ps_cart ps_cart_product ps_cmcic_reference ps_customer ps_customer_group ps_orders ps_order_carrier ps_order_detail ps_order_detail_tax ps_order_history ps_order_invoice ps_order_invoice_payment ps_order_payment -r databasename.sql");
?>
and after installing a clean version of Prestashop 1.6.1.1,
I imported the .sql in phpmyadmin.
No errors. But now I have tryed to buy with the bankwire module (to test), I have this error (attached file):
[PrestaShopDatabaseException]
Unknown column 'original_wholesale_price' in 'field list'
So now I'm pretty sure that the problem comes from my database, I think Prestashop can't write in the table order_details ...