My desired goals would include

Golden circle: ÞINGVELLIR, GULLFOSS, HÁIFOSS

North: KIRKJUFELL

South: SELJALANDSFOSS, SKÓGAFOSS, REYNISFJARA, FJAÐRÁRGLJÚFUR

West: SKAFTAFELL, STUÐLAGIL

I know my time is too short but I would love to do the most part of it.

But I can't rent a car!