is there any impact of Electron's spin in CRT?
So there are aspects of your question that are wrong, let's first get that out of the way.

Your "fact 2": Wrong.  All electrons are the same.  A more correct statement is that they are indistinguishable from one another. In fact it is this example behaviour that allow fermi statistics to arise and thus gives us a model that is very powerful and accurate in predicting behaviour of the ensemble of particles. In a Quantum system the various states that these fermions can take on are determined by the system, but you can not say which electron is actually in a given state.

Another assumption you are making. You are conflating quantum effects to macroscopic effects. In a CRT you're not going to see any quantum effects.  The stream of electrons looks like a current and such currents respond of Magnetic fields.

Spin effects do take place, but it is such a small effect that other effects are much much more dominant.  For example the natural repulsion electrons have for each other is very dominant in determining focus size.