Hi Golden Star
From what I can gather you are entitled to see your own health records but you might have to pay a charge to get a physical copy of them.
http://www.nhs.uk/NHSEngland/thenhs/records/healthrecords/Pages/what_to_do.aspxFrom this I would say that your doc (or the receptionist) should show you your records online - and you could make a quick note of the ones you were interested in. Alternatively make an appt with the doc specifically so that you can ask about certain ones and then note down the values. They cannot hold this information on you and not let you have it.
If the worst came to the worst it looks like you would have to make a freedom of info request or something like this - look on the link I gave you. It shouldn't come to this though! I would want to know the values of the conditions that they have treated me for - so the thyroid readings and the iron/haemoglobin etc.
Re iron - if you are anaemic then you really must take iron until your levels are normal! By alternatives I presume you mean alternatives to the tablets they gave you? The best one I use is Floradix herbal iron tonic - a liquid from plant extracts which is gently on the digestive system. You can get it online or from Holland and Barrett. I take it because I am in my 60's and still having bleeds (from HRT) - although my diet is very good I have been on a diet to lose weight for some months so maybe need a little extra iron.
I think it would be interesting to have your thyroid reading - but I would definitely get this sorted and then if you need HRT -then have a look at this too. if your periods are still pretty regular then may well not be time for this yet - but get your other conditions sorted. One point (which might have been made already) is that oral HRT interacts with thyroid meds so if you do take the thyroid meds and later start HRT in oral form then the thyroid meds may need adjusting - but the docs should monitor your levels anyway.
Keep us posted!

Hurdity x