Yes, Coptic Christians are free to run for office. The issue with some of the party lists, and it's the same issue with women, is that the domination at the top of the lists is generally Muslim and male; therefore, it's very unlikely that someone will be voted in. In the last Parliament, there were 10 women and Christians who were elected, who are in Parliament. I think some of them were even appointed. Some of them were both women and Christians, therefore filling both slots at the same time. So no, there are a lot of electoral issues around elections and the Christian community.
As for your question on whether I know who's running, there haven't been announcements of nominations yet, so I'm not sure who's running.
I'd like to also note that the churches all withdrew from the last constitutional assembly, and the opposition now has said that it will boycott the election, so we're waiting to see if the Coptic community and the Christian community will also follow suit.