Hostmonster Shared Hosting: using Addon domains

Hi,

Please forgive me if my explanation doesn't sound quite right, I'm new at this.
I purchased a couple of domain names we'll call "mydomain.com" & "mydomain.net" to be used for a project I was working on.
I used the "Addon Domains" feature to install them.
1st. the "mydomain.com"
2nd. the "mydomain.net" was added as an Addon as well instead of parked because it would only allow me to redirect it to the primary url.
3rd. I used the "Redirect" feature to create a Permanent 301 Redirect from "mydomain.net" to "mydomain.com.
I checked the redirect with or without www. box
I did not check the Wild Card Redirect Box.

When I created the 2 Addon domains, cPanel created a sub domain for each one as well.
Because I'll be uploading my site to the "mydomain.com" (Addon domain) directly and using the 301 redirect to
to handle "mydomain.net" url. Should I make both of those sub domains
mydomain-net.primarydomain & mydomain.primarydomain.com inaccessible by using the Password Protect feature in cPanel?
Should I also password protect the Addon domain "mydomain.net" with the 301 redirect as well?

Any advise would be sincerely appreciated.

Best Wishes