Is a 3 km wide map OK for my first open-world game?

Well, start with a small, single island of 100 x 100 meters, about the size of a city block in a typical European town. Populate it with interesting buildings, terrain, foliage, enemy units, pickups and events.

Polish everything until it looks good. Make a note of how long it took you to get to that point.

Now multiply that time by 900.