Playing on 2 pcs

Is there an issue with playing on 2 different PCs?(not at the same time)

I have DAoC loaded on my desktop when i want to play in the living room and on a laptop when i wanna lay in bed and play.

Just making sure-dont wanna get banned...not sure if thats why I got that email to verify my ip though id expect both to have the same ip on the outside?

Thanks!