@Gilla, I'm really sorry you are suffering like this.
I'm going to say something perhaps slightly controversial, which is that you really question whether coming off E is going to help. I mean, a QUARTER of a 25 patch is what you were on, which is.... 6.25mcg?

It's almost impossible that such a micro dose is going to be causing any of this.
As someone else who has suffered (for 3.5 years now) with severe insomnia, hypnic jerks, shaking through the night, heart beating hard and fast, having freezing cold feet when I first get into bed (to the point that I need an electric blanket in a heatwave)....
However, since getting my E up, I am now doing much better than a year ago. Instead of about 2-3 hours of light sleep and being completely dysfunctional and unable to work, I now sleep well until 4am. Then I wake up and often can only sleep lightly till 8am. I still have mild versions of the heart beating hard and fast and the inner tremors but they are much reduced and I can sleep through them. I achieved this by getting my E up to around 330pmol. I need to go higher....
I needed MORE estrogen, not less. I was not absorbing well transdermally. Following advice from my Newson doctor, I need to get between 450-650pmol - and some women need as high as 1000 - to overcome the fluctuations which cause these neurological symptoms and to ensure enough E reaches the brain, where it functions as a neurotransmitter. Regular doctors don't know this.
Whilst on a 37.5 patch my E once was 480pmol - but my own body must have contributed a lot of that. I learnt to only test E during my period, when my own levels would hopefully be low and I would get a better reflection of what I was getting from HRT.
When I was around 280pmol, I was routinely told that everything should be lovely and doctors didn't know why I was feeling this way and it must be something else. Which led to: B12 shots every other day. An iron infusion. A trial of thyroid meds (which I now have to wean off from). And so many supplements trialled.
I really am incredibly sceptical when i hear about women being on about 4+ different psych meds BEFORE getting their estrogen up has been attempted. It's ridiculous. These are serious meds (I am a psychotherapist by the way) with side effects. Estrogen is incredibly safe and whilst it can have side effects, they are not long-term and will stop when dosages are adjusted.
What leads you to think you had a 'big rise in estrogen levels'? Just because your own ovaries produced a surge of estrogen, doesn't mean you should stay on a very low dose of HRT. In fact, the opposite: The greater the surges from your ovaries, the greater the peaks and troughs and the more symptoms you will have. The answer is really to have a very decent level of estrogen from HRT which then blunts the peaks and troughs....
I would urge you to make an appointment with the Newson Health psychiatrist privately. We are not allowed to post links but if you just google "newson health psychiatrist" you will get details up. Hopefully she will be able to take an approach both in terms of optimising hormones and also determining whether you really need to be on all those psych meds...
I'd really urge you to seek specialist help. Yes, it is expensive - but the NHS just can't cope with complex cases like this. The waiting time alone makes it impossible.