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Hello & welcome to North Europe!
In Stockholm visit 1) Moderna Museet 2) Skansen*. .
Take the Viking Line (red) overenight boat late afternoon to Helsinki.
In Helsinki visit 1) Kiasma 2) Seurasaari*
* if weather permits as open air museums.
Make a sidetrip from Helsinki to Tallinn by boat and St. Petersburg
by bus, train or boat (visa needed) See amaizing Winter Palace (Hermitage). .. ..and die
If you must go to Oslo (have much dollars in your pocket!) a visit to their only sight Viegeland is recommended.
Study first - perhaps you are not interested.
A boat trip on Baltic Sea is "a must" Stockholm - Helsinki: Tallinn/St Petersburg or Stockholm - Tallinn - Helsinki - St Petersburg depends of your arrival airport. Enjoy!

just a small thing for your reference Chee: The Vasa Ship is not a viking ship but an old battleship, rather something like those in the movie "Master and Commander"

Both Vasa and Skansen can well be fitted into one day, and you could end the day at the amusement park "Gröna Lund". . All these three are located a few minutes walk from each other. Expect to walk a lot at Skansen though