I agree with everyone else, you don't want to talk about the personal stuff. There's a high probability that it will hurt your chances of getting the job, and it's very unlikely to help. Also, in terms of professional boundaries, you aren't really supposed to be talking to the patients about your personal issues.
Regarding your education plans, that is something that can make you look good if you are furthering your education within your field and you make it clear that the education will not interfere with your working the hours/schedule of the job that you are applying for. It helps convey that you are motivated and a high achiever. When I interviewed for the job I just got, I let them know that I plan to go on and get my RN (I'm an LPN now) and eventually be a family or psych NP; but I also made it clear that the job would be my first priority and I would select a school that I could fit into my schedule.
In your case, though, even though you plan to stay in Psych, you don't plan to continue in nursing, so I wouldn't suggest bringing it up.