Sorry, I've been soul crushingly busy lately.
I cant really say a whole lot about internship opportunities for Systems students with a finance application sequence. I quick search on any one of the job listings sites will tell you more than I can. What I can tell you is that there are a whole lot of jobs for Systems engineers. I talked to a recruiter once who had no idea what Systems engineers do, but his company told him to talk to as many as he could. If your looking for a finance job, it seems logical to me that Systems would set you apart from others. In particular, you will learn a ton of probability and statistics, be able to construct distribution models, run Monte Carlo simulations, solve linear programs, work effectively in teams, and make convincing consulting presentations.
I have been decently happy with the program and staff. The classes are all across the board, so you will like some and dislike others. I've taken classes on simulation, forecasting, human/computer interaction, cognition, databases, coding, consulting work, and shortest path models. You will not enjoy all of them most likely. But systems gives you a decent amount of flexibility with a couple of unrestricted electives and the sequence.
Professors also vary a lot. I haven't had one yet that I really liked and who made me happy to be a systems engineer. But I suppose that is particularly hard when the professor is an professional engineer and the class is on density functions. There are some pretty good professors though. I guess what is more important is that I have not (at least in the systems department) had any awful professors.
I'm not to sure about risk analysis, but human factors at UVa is much more concerned with how people work with machines and in systems. It seems to combine a little bit of ergonomics, physiology, cognition, and engineering to work on applications such as interface design and usability testing.