Welcome to the forums Ron
This is a server related question. Please open a ticket with the help desk and they can tell you if what you seek is installed or can be installed.
As for serving video on a shared server be warned that you can use up your alloted bandwidth quite quickly. And if the server requests cause high server loads your site will be suspended.
To answer the original question. Unless you have a reseller account or park the domain on an existing domain each domain requires it's own hosting account.
Well if it was working and suddenly stopped, what's changed? Have they changed something at work? Have you tried using the upload function from home? What happens there?
What version of Wordpress are you using? Are the permissions of the folder you are uploading into read-write-execute for everyone?
I personally do not use the upload feature in Wordpress and rather FTP my images to the server.
Create your php file and place it somewhere within you account.
When creating the cron job in cPanel enter the command to run such as this.
>/usr/bin/php -q /home/your-TCH-username/path-to-script
Movie tutorial How to create a Cron job.
You can get that two ways. If you are using POP3 to retrieve your email all you need to do is find the setting in Outlook that leaves a copy of the message on the server and set it. Sorry don't use Outlook so can't tell you where.
The other way is to setup Outlook to use IMAP where all email stays on the server.
Microsoft's instructions for setting it up
IMAP config for Outlook with pictures