Are caraway seeds and fennel seeds the same?
Fennel and caraway are relatives, but not the same plant.  Fennel seeds have a flavor dominated by anise/licorice, where caraway is quite different, being dominated by other flavors. They also have subtle differences in appearance.

Cumin, anise, and dill are other look-alike seeds with very different flavors.  Anise and fennel have very similar flavors, and can be substituted for each other.  Caraway and dill are likewise similar in flavor.  Cumin has a flavor different from any of the above. I am including pictures of fennel, caraway, anise, cumin, and dill seeds so you can see how similar they are, but also how there are subtle differences in shape.  

Fennel Seed:



Caraway Seeds:



Anise Seed:  It is hard to tell from the picture, but anise seeds are much smaller than fennel.


Cumin Seeds: note, these vary considerably in color


Dill Seeds: (note how much flatter theses are)