Yes and no. Plebe Summer they confiscate most medication. But If it is needed and prescribed you will keep it after verification. After Plebe Summer things are much less regulated. After Plebe Summer many Mids keep the typical Tylenol and cold medicine around.
Not necessarily. You could be prescribed medication for an ear infection right before I Day and still report. You mentioned eczema in your post. If you show up with eczema medication and it's not in your DoDMERB, I would expect issues. If I remember correctly that is still something that requires a waiver and would be something that catches attention. On I Day there is a final check by doctors. For most it's a quick stop, but those with waivers they definitely check things one last time. This isn't something to worry about if you were honest on DoDMERB.
Answer the DODMERB question exactly how it is asked. Don't bring cream if you haven't used it in 7-8 years. If something happens you can go to medical for it to be checked out. If this is a bottle from 7-8 years ago, its way past expiration more than likely. If it's current then you would have a current prescription and would need to keep that in mind when answering DoDMERB.