You will need to perm 301 all pages to new https, this will transfer juice as well. This is usueally done one off in the .htaccess
May be able to comment out rewrite base depending on server settings such as
#RewriteBase /
Also left code there for force to WWW, this is your option of course
Code:
RewriteEngine On
RewriteBase /
# Force SSL:
RewriteCond %{HTTPS} off
RewriteRule (.*) https://%{HTTP_HOST}%{REQUEST_URI} [R=301,L]
# Force www:
RewriteCond %{HTTP_HOST} !^$
RewriteCond %{HTTP_HOST} !^www\. [NC]
RewriteCond %{HTTPS}s ^on(s)|
RewriteRule ^ http%1://www.%{HTTP_HOST}%{REQUEST_URI} [R=301,L]