Hi !
This is the problem because you are using POP3 server for retreiving the mails.
In this what happens that as soon as you connect to the server , all the mails are downloaded on the local machine and the server is cleaned up.
So, if you want your mails to be there so that you can read it in the Office, then in the home, just change the Settings and make the Server type to IMAP.
In this all the mails will be there on the server and a copy of the message will come on your local machine.
But as soon as you use POP3 server then the mails will be downloaded and Most probably server will be cleaned.
You can also try Leave Copy of Messages on the Server. But it will fill your Mail box.
Best of Luck.
Guru