Hi,
Please note that each time you post a reply, the message goes back at the top of the queue so you will have to wait longer.
The lost password screen and the login screen are not part of HikaShop but Joomla. Please ask your questions on the joomla forum as that is not the subject of this forum.
I honestly do not know why your lost password page does not work.
That login screen is displayed by the file:
components/com_user/views/login/tmpl/default_login.php
However, if your template overrides the view, you would have to modify the file templates/YOUR_TEMPLATE/html/com_user/login/default_login.php
You will find there the links you're searching.