At the end of the day what happens on the station is not in any way the business of a nearby resident. It’s a public place, and if one lives in a house next to public space then one must expect the public to be there at times. This is a simple fact of life, and if people are unhappy with this then they need to find somewhere to live which is more secluded.
If what’s happening on the station is genuinely disruptive, like groups generating lots of noise, then they might have a point - but this doesn’t sound like what the OP describes. Unfortunately some people do have an aversion to people coming near their house, and if this is as described then this sounds very much like such a case.
It’s not uncommon for householders to take more interest in goings on than they should. In some cases it’s simply a worry that something unsavoury might be going on. Personally I don’t have a problem with that (although personally I find it surprising some people seem to spend all their time looking out of their window - I certainly don’t, indeed in my house pretty much the only time I look into the street is when I’m cleaning the front windows), however this can be dealt with by polite conversation. Again this doesn’t sound like what’s gone on here.
I’d love to have an exclusion zone round my house, however this is just one of those facts of life everyone needs to accept.