First one sounds like it could be low awareness lucid, being aware of dreaming is what being lucid is, it's not uncommon in low awareness lucids for one to not have memory of waking life in dream or even have somewhat different personality, though, if you really feel like you weren't aware that you were dreaming at all, it could be non-lucid dream about actions that one would do when lucid, it's really up to you to decide.
Second one sounds like non-lucid since you weren't aware that you were dreaming.
Either way, don't be disappointed, like melanieb said it can be because you think alot about lucid dreaming, and it's not a bad thing, thinking about lucid dreaming can help increasing chances of being lucid too and those non-lucid dreams can also be turned lucid, keep working on awareness and think positive!

*Moved to Attaining Lucidity*