Definitely. The fact that you were sitting there saying to yourself "Wait, I think I'm dreaming," and then you tried to confirm it by doing a reality check suggests that you were consciously realizing that what you're experiencing was a dream. That's signs, to me, of a lucid dream.
When you had your false awakening, did you figure it was a false awakening while it was happening? If so, again, that definitely suggest's a lucid dream.
Way to go, man. Keep it up.