Do people sometimes imagine that ordinary coincidences are paranormal events? ?

Yes, very often the flicker of s light due to faulty wintering is thought to be paranormal.

All assumed paranormal events are coincidences. 

Yes, of course they do. Scientists have never found any evidence that paranormal or supernatural things exist. Some people passionately want to believe in such nonsense of course. All  too few people comprehend Science and Logic that refute the paranormal. 

Absolutely not!  If you have ever experienced the Paranormal you wouldn't have asked this question 

All paranormal events are ordinary coincidences. 

But of course. But it's not really "Paranormal" ----Carl G. Jung, the co-founder of modern Psychology (with Sigmund Freud) also noted there were some coincidences that were NOT ordinary.  He called these special cases "Synchronicities" ---Usually several coincidences at once also connected to what was going on at the moment.  Making them appear to be "Meaningful" (Not "Paranormal" however).  Jung attributed Synchronicities to "The interconnectedness of the Universe"  As the new Theories of Quantum Entanglement were really big at the time (early 1900s)  That Einstein called "Spooky motion at a distance".

Yes I suppose “sometimes” they do, but then again, there’s plenty of times where they don’t, and they can know, and sense, it’s something more.

They sure do and when you add in confirmation bias it really becomes spooky. They start seeing the same numbers, the same time on every clock and running into folks they just thought of and haven't seen in years.

Yes, I suspect that is behind a number of reported alleged paranormal phenomena.

This can be seen most clearly in people with thought process disorder, which can seriously compromise the ability to recognise coincidence. An example is when people with such problems notice that inserting a space after the 'e' of 'therapist' creates the words 'the rapist' and instead of recognising that this is a meaningless coincidence believe that this is a secret message warning them that a therapist is a rapist. This can sometimes lead to therapy clients becoming very frightened. It happens often enough that some psychiatric services in the UK have seriously considered avoiding using the term.

There isn't anything that people haven't sometimes imagined.