Hi and welcome to MM Vicki
I had exactly the same thing happen to me in my mid 30s. My mum and gran both had POF and didn't mention this to me.
Since you came off the BCP have you had any periods? Are you getting flushes or other meno symptoms? A high FSH is the indication for menopause.
Re wanting another baby, I would ask to be referred to a specialist to really find out what is going on before attempting any hormonal treatment.
Do read up all the factual info on this site to get clued up.
I am a bit confused about the tests you've had done - what on earth is a amh test?
Blood tests are notoriously unreliable for menopause so maybe your GP is seeing a different picture?
Anyway, at least you are getting a diagnosis and at your age there are BCPs that have bioindentical oestrogen which may be appropriate for you - e.g. Qlaira - do ask your doctor about this if you are not going to try for a baby. There are many HRT options as well so look under TREATMENTS on this site.
Keep us posted. DG x