profile > activity > reviews I cannot see the reviews. I only see:
(nothing in this date range)
I think this message is quite inappropriate. Is there any way to see if my flag was accepted by peers?
The "reviews" tab in your profile lists the suggested edits that you have reviewed and voted on (either to approve or reject the edit). Remember that you are only able to review suggested edits if you have full edit privileges yourself (at least 2k rep). If not, you won't have anything listed in this tab.
In order to see your flags and find out which have been marked as valid or invalid, you need to click on the flag weight link in your profile, underneath the reputation counter:
That links you to this page, which displays a summary of all the posts you've flagged, whether they were dismissed as valid or invalid, and what action (if any) was taken in response.