OK, this is easy and something we do on a daily basis!
Firstly you will need to REINSTALL ALL applications like OFFICE, ACROBAT etc, you must do this there is no way of copying them from one system to another (unless as stated earlier, the hardware is identical)
Copy all documents images etc that you want to keep into MY DOCUMENTS
On your OLD laptop go to START, ALL PROGRAMS, ACCESSORIES, SYSTEM TOOLS
Click on Files & Settings Transfer WIzard
tell it that this is the OLD PC, use FILES & SETTINGS, then tell it to create the back up on to your BACKUP DRIVE you said you had, this will create a UMST file which contains all docs, & settings from your original Laptop
Once its done plug your back up drive into the NEW LAPTOP
On your new laptop:
Click on Files & Settings Transfer WIzard
tell it that this is the NEW PC, just click next and then all being well all you emails, IE Faves, and docs will be on your new laptop!
If you get stuck feel free to contact me on www.eagletec.co.uk, join the forum, we will help you out :)