And do believe that I, this random guy on the internet has a soul
I personally don't believe that I anyone else has a soul. From my standup I don't se any reason to believe that our consciousness and our so called "soul" would be any more then something our brain is making up.
Personally no, and neither does anything/one else, its a very limited religious-brainwormed concept mostly used to just go around and call things 'souless' which is all in fun when its a terrible movie or something, not fun when its people and the concept is used to harm them. Its all material and its near countless interactions in many, many forms all the way up and down, in forms we know well and those we have yet to study.
During NDEs your brain glitches out as you're basically dying (and if you're really dead technically you're not human anymore anyway, just sayin, the pop-mythical soul seems to imply permanent human-ness lording all existence in a linear fashion whether directly or by symbolic language) and having OBEs is nothing mystical, in fact reasonably easy to recreate when fully well and alive, so its hard to say those as some concrete evidence for a pop soul concept or against it. I think its the brain making stuff up for now since life is hard and filled with stuff it can't handle.
A lot of things people call 'soul' in pop reference can be taken away quite easily by mere illness, time or even falling out of social graces.
OBE?
Out of body experience, the illusory perception that you're hanging outside of your body, people that have NDEs (near death experiences) report it a lot but you can trip that sensation while very alive, people with hard core dissociation type conditions for example, other more boring things like sleep deprivation, trauma and stress, or simple meditation and perception games.