Any suggestion for my possible trip?

Hi everybody and sorry in advance for my English, I'm from Spain.

I have the possibility to stay in Oslo with an acquaintance and I don't to waste that opportunity.

I would go from 3-9 th June leaving on 10th.

From 4th to 6 th he can't meet, then I would like ask where will you travel if I wouldn't rent a car.

I'd appreciate your suggestions, thanks in advance.