Just to be clear, you are wanting to launch a program from a batch file and then have the batch file press keys (in your example, the arrow keys) within that launched program?
If that is the case, you aren't going to be able to do that with simply a ".bat" file as the launched would stop the batch file from continuing until it terminated--
My first recommendation would be to use something like AutoHotkey or AutoIt if possible, simply because they both have active forums where you'd find countless examples of people launching applications and sending key presses not to mention tools to simply "record" what you want to do. However you said this is a work computer and you may not be able to load a 3rd party program.. but you aren't without options.
You can use Windows Scripting Host from something like a .vbs file to launch a program and send keys to that process. If you're running a version of Windows that includes PowerShell 2.0 (Windows XP with Service Pack 3, Windows Vista with Service Pack 1, Windows 7, etc.) you can use Windows Scripting Host as a COM object from your PS script or use VB's Intereact class.
The specifics of how to do it are outside the scope of this answer but you can find numerous examples using the methods I just described by searching on SO or Google.
edit: Just to help you get started you can look here: