This sounds very much like some kind of scam.
They're calling you at "night" after office hours, they pretend to be police and NHS at the same time(?), and they try to interrogate you for personal information. It's very much how scam callers operate. While I don't know how you local services usually behave, it sounds very off.
At best it's some misguided prolife thing, but I very much suspect something more nefarious.
I think you might want to call the police on it. Like others have said - if you're not actively suicidal they won't be interested in you. If the scam-like calls are standard procedure they'd also let you know.
Also feel free to share more information about the numbers and the supposed hotline, if you can.