I don't think it is possible to psycho-analyze someone based on so little data.
If everybody that talked to trees or other spirits had schizophrenia you'd have to include each and every religious person, to me their beliefs are just as weird as someone talking to trees.
Agreed, thus the wording of my first sentence. However the belief that you can talk to trees (delusion) combined with being fascinated with eyes (possible hallucination or sensory distortion) combined with no job or home all adds up to something highly consistent with schizophrenia. I've had a lot of direct personal experience with someone who has this condition, and have done a lot of reading and talking to doctors, so I have some basis for making this estimation.
Regarding religion. That's complicated. It may very well be the case that some people who make religious claims are in fact mentally ill. There are likely also other people who claim to follow a religion who are not mentally ill: they were either raised by their parents to believe that way, or, they chose it.
If everybody that talked to trees or other spirits had schizophrenia you'd have to include each and every religious person, to me their beliefs are just as weird as someone talking to trees.
It's not that simple.