Gothenburg, west coast Sweden to Stockholm and Helsinki tips?

I am just starting to plan for a trip to Helsinki for the World Dog show, August 8-10. I’ve watched Rick’s Monday Night travels about Iceland, and Scandinavia, and have bought the book as well. Everywhere looks fabulous, but I’m trying to pare things down and would really appreciate any input from more experienced travellers than I. 

Here’s my rough plan.

Leave Vancouver BC for Iceland. 
Reykjavik (3 or 4 days) exploring the city. I don’t like driving cars, and love to walk or take trains.
Fly from Iceland to Gothenburg, Sweden. (2-3 days) 
My grandfather emigrated from Uddevalla, and I’d love to explore some of west Sweden, but I haven’t found much information about the area. 
I’d love to explore the parks, or kayak, but perhaps that’s too ambitious without a car. 
Then, take a train to Stockholm, and explore that city for 2-3 days
. Take cruise from Stockholm to Helsinki, a couple days before the Dog Show, which lasts 3 days. 
Fly home. :) 
I’d greatly appreciate any suggestions or guidance. 

Thank you in advance.