I would not add a portico with all those other roof levels Do you need it for protection for guests ? Please remove the shutters that are all wrong and go to work on some much more interesting landscaping IMO much better use of money

Adding a portico might just make the overall composition of the house more disjointed. Will suggest painting the brick portion of your home the same color as the siding. That should help make the composition more cohesive. If you do replace the shutters as Patricia Colwell suggested please make them real operable shutters with shutter dogs.

Before portico, consult with a roofing architect to see if those rooflines can be better integrated allowing for a more cohesive look and portico if possible. A new roof might better accommodate rain and snow discharge.