Thanks for everyone that helped, I got all my coins retrieved yesterday to my electrum wallet!
For future people searching for this you'd be doing them a favour by telling them what happened. Though as above I don't see how you got ETH out with Electrum.
You are right.
So I did this:
I opened the wallet with the missing asset, example the Jaxx-wallet containing ETH.
Then I went to the tools- section and wrote out my ETH-private key.
Then I opened Exodus wallet, went to the tools- section and imported my ETH-private key - which retrieved my long lost assets. Woohoo!
Then I shapeshifted these ETH to my Electrum wallet as Bitcoin.
And then I did the same operation with BCH. Private keys out, imported private keys to a different wallet. Then transfer to BTC and move to a more steady wallet.
So now my assets are safeish in the Electrum wallet as BTC. I also ordered a USB-wallet for cold storage.
From my experience, I think using these experimental multiwallets is not very convenient. I also had to help one of my collagues to retrieve his lost coins. I think I will not use shapeshift anymore though it has worked every time. I think more appropriate way is to use a market of some sorts.