1. b - plants make their own food (glucose)
2. 1 - fish and upwards have a jaw (there are fish that do not have jaws, but this is likely where the divergence happens - before 1 is likely jawless fish.
3. b - cellular respiration
4. They belong to the same kingdom (Animalia) but different phyla (dogs are in the phylum Chordata - insects are not)
Cyanobacteria are also very often referred to as "blue-green algae" because they are photosynthetic and aquatic in nature. They are important in the ecology as they help in forming the earth's oxygen atmosphere. Many oil deposits are attributed to the activities being performed by this group of microorganisms.
Yes, It indeed is inside a cell's nuculeus. You are correct