First off, I'm sorry to hear what you are going through. Having to go through one of those events would be traumatic enough, so it is difficult to imagine how you must feel.
I am not trained in anyway to do diagnostics. Like others answering your question I would hazard a guess though that you may be going through something of a more serious nature than simply burnout.
As someone who experienced burnout personally just last year as well as a cancer diagnostic in my partner alongside that, I can't stress it enough how important it is to seek professional outside help in these situations.
Especially in a case involving sexual trauma. You don't want that gnawing at the back of your mind, unresolved for years.
Psychologists are trained to help people cope with, process, and get through what you are experiencing.
But they can't help you unless you reach out to them. And know that there is no shame in asking for help. We all have done it, whether we admit to it or not.
My experience was an eye opener. Simply the discussion, with a neutral party did wonders for me. I was also prescribed any kind of exercise where my heart rate would go up and, more importantly, involved deep rapid breathing. There are bio-feedback loops involved there that help remedy some of the depressive symptoms..
Also know that this kind of state can take time to heal from. It has been 5 months for me and just now do I feel myself coming together as the person I was before.
Hope it all goes well for you.