1. I like seafood stew.

2. I like seafood soup.
[Which word should we use?]

3. I like sliced raw octopus.
4. I like raw octopus.
5. I like live octopus.
[Which word should we use?]

6. I have rice and dried laver for breakfast.
7. I have rice and dry laver for breakfast.
[Which word do we have to use?]

2 is probably better than 1. I've never heard anyone refer to seafood and stew in the same sentence!

3-5 -- You can use any of them that fit the circumstances.

6 and 7 -- I don't know what laver is, but I'd probably use 6 rather than 7.