Given your history, I'm sure you would get one - but you might have to be very proactive about it.
I would recommend talking to your GP about your fears now, to flag it up early - and if you don't feel your GP is sympathetic, make an appt with another one. If they refer you to a counsellor, take them up on it - it shouldn't be about persuading you to have a VB, but about helping you deal with your fears in general, and helping you feel you have more control over things (if you get a good counsellor).
They might be active about recommending you for a CS, which would give you some support. All this can be done before you get pregnant, and gives your arguments more weight when you are pregnant.
When you are pregnant, you need to be referred to a consultant very early on. MWs may be very reluctant to do this, but you have every right, and just need to request it politely and firmly. You should be clear that leaving discussions about what kind of birth you want until the last minute are not appropriate for you.
With other HCPs 'on your side', such as a sympathetic GP and counsellor or mental health worker, you will be in a very strong position to request a CS.
If at any stage you meet someone who doesn't take your fears seriously and tries to 'jolly you along', say you'd like to talk to someone else. Your mental health history is too serious for your anxiety to be dismissed.
Good luck.