Welcome to the forum! We would really need to see a picture to make any comment about your healing process. In terms of after care, you should be following the advice of your artist....did he/she tell you to wrap it at night? Unless you have concerns about cleanliness, or you are using something like Tagiderm (which I assume you aren't because you seem to be wrapping it each night), you should be allowing your skin to breath - it needs air to heal.
While some people here will advocate a dry heal with no lotion, many recommend a VERY LIGHT application of a fragrance-free moisturizer several times a day. Your tattoo should not appear wet after application.