Generally, excepting a retrovirus like HIV, the coat stay out side of the victim cell while the genetic material is injected into the cell.
If a virus has one, yes, and it's often referred to as a "protein coat."
protein
protein makes up the coat of a virus
Protein capsid.
Capsidecapsid
The protein coat surrounding the nucleic acid of a virus is called the capsid. These are broadly classified according to their structures. Helical (cylindrical) and icosahedral (spherical) are the most common types.
el croupanoshki
A protein coat called a capsid.
a typical virus has a core of DNA or RNA and a protein coat
Virus
protein coat and the nucleus acid
capsid (= protein coat) and nucleic acid - DNA or RNA.