Somanymistakes I'm sorry you had all the anxiety problems - sounds like a mix of bad timing with the tombstone ad at an impressionable age, the fact that you're a nurse, and your mother's view of sex. At least you got it sussed eventually - and I hope you are now having an amazing sex life!!
In the 80s I spent most of my time working abroad. I saw the ad and basically thought it had nothing to do with me so although it had an impact as a "terrible disease" it's just nothing I thought I'd ever get. I understand that those for whom it did have an impact might think "why do I want to get tested and know" considering the side effects of the meds then! Also the fact people didn't start meds straight away, unlike nowadays. they started when their immune system stated to fail mostly.
You might be interested to know though that HIV anxiety is still a thing with a lot of people - and not just older people. People still get scared shitless that they've got it from someone of "unknown status" from, say a blow job, or protected sex where the condom slipped a little (but didn't come off or shred so no risk) or sharing equipment, say, at the hairdressers, or believing the rumours about it being in food. they almost try to talk themselves into having it!
Btw although needles stick injuries and transmission have been known - albeit rarely) in hospital settings, there has not been one recorded case of HIV transmission in stepping on a discarded needle. And you can't get it from toilet seats - I'm sure you know that now!
Re your question about telling my girls - I have no idea if they have told anyone else, but I don't think so. When I told them I made sure there was someone else for them to talk to - for one DD a mutual friend, and the other her bf who would be really laid back about it (she said later she didn't tell him though). Really it's up to anyone I tell if they tell anyone else and that is something I cannot control. However by people talking about it with others - eg other mothers with their kids, it helps raise awareness. My parents are dead and I don't honestly know if I would have told them. They were pretty old fashioned and would have been mortified I should imagine. However I know of others who have told their parents, who have been great and really supportive.
I have told a few friends, some of whom have been really wonderful. The problem with HIV is the more you feel you have to keep it a secret, the more you feel self stigmatised by it IYSWIM. A lot of people feel for various reasons that they can't tell anyone IRL, and can become really isolated by it as a result.