Is the failure to cut out the cross from a notebook, and the presence of a cross drawing on the shirt of a person praying after supplicating for guidance, a coincidence or not?

You must turn away from these whisperings (waswas) and seek refuge in Allah from them. There is no significance to seeing the image of the cross or to its not tearing. The religion of Islam is the religion of Tawhid (monotheism), and whoever is not a Muslim is among the people of the Fire. Christianity is a religion of polytheism (shirk), and its followers are threatened with the Fire. The cross is a myth that the Sharia has declared false, as Allah Almighty says: "And they did not kill him, nor did they crucify him, but it was made to appear to them as such."