Batch command to open url and fulfill username and password

I don't think this can be done using a batch file as batch has its own limitations, instead you can you the below VB script.

Set IE = CreateObject("InternetExplorer.Application")
IE.navigate "http://TheWebsite"
IE.Visible = True`

While IE.Busy
    WScript.Sleep 50
Wend

Set ipf = IE.document.all.username
ipf.Value = "Username" 
Set ipf = IE.document.all.password
ipf.Value = "Password" 
Set ipf = IE.document.all.Submit
ipf.Click 
IE.Quit

Update Website name, uname and passwd and then save this as AutoWebsite.vbs