Add HTTPS to already existing Mod Rewrite - apache

Question

I have the following rules and conditions in my mod_rewrite and like to add HTTPS to it. I like to confirm the following it accurate before publishing it live.
Current Rules and Conditions
RewriteEngine On
RewriteCond %{REQUEST_URI} \.jpg$ [NC]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteRule .* /home/domain.com/public_html/missing.png [L]
RewriteCond %{HTTP_HOST} ^www.olddomain.com$
RewriteRule ^(.*)$ http://www.domain.com/$1 [L,R=301]
RewriteCond %{HTTP_HOST} !^www\. [NC]
RewriteCond %{HTTP_HOST} !^$
RewriteRule ^ http://www.%{HTTP_HOST}%{REQUEST_URI} [L,R=301]
RewriteRule ^index.html$ http://www.domain.com/ [L,R=301]
New Rules and Conditions
RewriteEngine On
RewriteCond %{REQUEST_URI} \.jpg$ [NC]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteRule .* /home/domain.com/public_html/missing.png [L]
RewriteCond %{HTTP_HOST} ^www.olddomain.com$
RewriteRule ^(.*)$ https://www.domain.com/$1 [L,R=301]
RewriteCond %{HTTPS} Off
RewriteCond %{HTTP_HOST} !^www\. [NC]
RewriteCond %{HTTP_HOST} !^$
RewriteRule ^ https://www.%{HTTP_HOST}%{REQUEST_URI} [L,R=301]
RewriteRule ^index.html$ https://www.domain.com/ [L,R=301]

Answer 1

RewriteEngine On
# always do domain/https redirs first
RewriteCond %{HTTPS} =off [OR]
RewriteCond %{HTTP_HOST} ^(?!www\.domain\.com$). [NC]
RewriteCond %{THE_REQUEST} ^\S+\s+/?(\S*)
RewriteRule ^ https://www.domain.com/%1 [NS,NE,L,R=301]
# remove index files from URLs, except from POST forms, etc. you can add more file extensions to the second condition
RewriteCond %{REQUEST_METHOD} ^(?:GET|HEAD)$
RewriteCond %{THE_REQUEST} ^\S+\s+/?((?:[^?/]*/)*?)index\.(?:html?|php|pl)(\?\S*)?(?:\s|$)
RewriteRule ^ https://www.domain.com/%1%2 [NS,NE,L,R=301]
# missing images
RewriteCond %{REQUEST_FILENAME} !-f
RewriteRule \.(?:jpe?g|png|gif)$ /missing.png [NS,NC,L,DPI]