Hi @Former-Member. It sounds a like your mood is lifting sometimes, as when your psychiatrist said some things that felt helpful. But then at other times you are more down and can't remember what was positive from those moments. I relate to these kinds of cycles where it can be hard to 'keep up' the positive things all the time and it can feel like we are sinking. It's also understandable that you are struggling given everything you are going through.
As to whether there is any point to things, it's a big question in general and one that I've struggled with for a long time, lacking a sense of purpose. At my best times I know that life has a meaning in and of itself beyond all purposes. I also try to remember those closest to me and how much my life means to them. In your case, this would be your children, who you continue to care for through it all.
Are there anythings you can turn to that are positive about today for you? For example, can you at least congratulate yourself on the small but crucial things like getting the children off to school/kinder and doing the many other things you do to look after them and yourself every day? I struggle with these things to a huge extent even without the stresses on me that you are carrying, so to me what you are achieving daily despite it all is awesome.
I totally understand if these thoughts are not helpful in your current state of mind. But I am listening and care what happens to you, LJ. Really hope the mood picks up for you today.