You're right, there's an issue with the first sentence, mainly the 'full with aromatic' part of it. That phrase is making 'aromatic' a noun, but it doesn't fit here because it's not the same as 'aroma'. (An aromatic is something that gives off an aroma, often referring to plants). Also, I'm not entirely sure how many people say 'full with', but to me it sounds like a mixture of filled with and full of.
The beginnings of both of these sentences sound good to me, and completely natural. You can choose one or the other based on your preference. However I do think the sentence sounds better with 'filled my bedroom with...' just because I feel it gives a stronger sense of the room becoming filled with aroma, rather than just being full of aroma. For example:
'Your flowers came this morning and filled my bedroom with aroma.'
'The flowers you sent (me) came this morning and filled my bedroom with aroma.'
(not a teacher, just a language lover)