But do think a lawyer would get that fee every day? Or only once or a few times per month?

I wouldn't think that would be particularly interesting. Lawyers make a lot in our culture too.

What I find more interesting is the extremely high relative wage for Teachers.

Even though I don't really know what Roman courts were like, I bet a lot more things were punishable by death, so I figure a good lawyer might be the difference between being let free (or at least getting out alive) or being executed.

It's all about preventing taxes and death: lawyers and doctors.