It mat depend on your practice but as the guidelines FROM NICE and RCOG have changed, GP surgeries should be able to offer the standard pain relief? Unless there's something specific they cannot? As a practice will have licodaine etc, so that shouldn't be the issue.
If you can, you can either ask your GP pharmacy, about increasing the dosage for tranexamic acid but see if the Norethisterone helps first if you want. Is it only a 10 day course as a trial? I'd ask for longer.
Other than this, do you feel like your PCOS causes you any other problems? Seeing as an ultrasound was only 2 months ago, it would be a pretty fast growth of fibroids if you had them. I mean maybe your GP would do a repeat scan? It's really up to them and I see why they may want to wait since the scan wasn't that long ago. You could maybe get one privately if you want it now? Or just talk to your GP and see what they say. The coil falling out, pretty soon after insertion, speaks either to perhaps not the best insertion or just random, it happens to people for no reason sometimes.
What was your biposy teted for? Was it keyhole? Do you think naproxen or mefenamic acid would help you? Its more wirh cramps and pain, as its an anti-inflammatory. If you want to try it, ask your GP.
@ShowOfHands The first appointment will likely book a myomectomy straight away. They don't like doing further scans, if they don't have to, and fibroids are a pretty easy like quick diagnosis by ultrasound and won't require another one. When you do get your appointment date, ask your GP to book another one pretty soon before it (ultrasound). They should be fine with it as you won't really need one till then anyways. Then make sure the report at the very least can be on your NHS app/sent to your GP before the appointment. Even if you just shoe it to them, they'll take it and not re-ordeer it. Though, I doubt they'd reorder it anyways. Also have the other report (likely GP sent it to them etc) which you have now and make sure you refer to it as well. I'm very sorry the waits are long, but gyne is very overwhelmed across the country, but as a result they'll want to get you dealt with quickly, because fibroids are pretty 'easy', like you just take them out or a hysterectomy. Hopefully you don't have to wait as long as they said.