I've started commuting by private car; should I also apply for private car commuting through "Commuting Expenses Web"?

The application methods for private car commuting and commuter passes are different.
Application for private car commuting: Apply through "ServiceNow"
Application for commuter passes (fuel costs, parking fees): Apply through "Commuting Expenses Web"

Related link: What are the login ID and password for "Commuting Expenses Web"?