What is going on with my eye (1 dropping & looser skin on the other)? (Photos)

What you need aesthetically and what you are likely to get covered by the NHS will not be the same. In my practice, I would offer bilateral anterior levator resection ptosis surgery with anchor blepharoplasty. The skin on your eyelid platform needs to be controlled to make it smooth. I do not think you will benefit form posterior approach ptosis surgery. In the UK, so-called white line ptosis is very popular. I do not believe this is the right surgery for you. Your eyes can be your best feature. There is an eye drop called Upneeq that lifts the heavy upper eyelid but it is far from ideal.