I work for myself now, but when I was employed by the county, I would never have dreamed of using my work computer to log into E. Even if I wasn't writing sex or doing anything pervy, that stuff is all over the place. Not worth it.
We once had a prosecutor, one who was the superstar of our office after he'd been featured on 20/20 or one of those shows, get fired because some jerk had posted naked pictures of his wife online and he was trying to figure out how to get them down. He'd come in over the weekend, so it wasn't during work hours, worked on cases and then started doing that. You have to be careful professionally.