I can't login in My Account, but I can with Wp-login

WP-4.2.2 & Woocommerce- 2.3.10 – I can’t login in to my Account, but I can with Wp-login – There are two cookies that for some reason when I logout it does not get deleted. When i manually delete those cookies i’m able to login (in My Account) the first time only, when I try for a second time to login (with any valid user credential) it fails. I Deactivated all plugins – except for Woocommerce – The problem remains; Also I changed to Default theme – twenty …- same outcome.
All information available online is outdated, I would really appreciate any help.
Thank you,

https://wordpress.org/plugins/woocommerce/