Which phase of mitosis involves the coiling of chromosomes, breakdown of the nuclear envelope, and the movement of centrioles to opposite poles of the cell?

It is the prophase which is the first phase of mitosis.

When a virus infects a host cell, it uses the cell's machinery to make copies of its own genetic material in a process called replication. finally, during the process of self-assembly, that protein shell and the copies of the virus's genetic material are assembled into new viruses.