SSIS package development

Hi, I’m new to Integration services SSIS. I have developed a package & want to deploy it.

Before that, I want to rename the package I developed from ‘Package1’ to some meaningful name.

a) Will it affect the contents of package?

b) Do I need to rebuild the solution so that .ispac file will be updated to show the new package name ?

c) My manager has a query like "how to know that SSIS is installed in the SQL Server set up there at his location ? ". I have answered like, in the SSMS, the ‘Integration Services Catalogs’ will appear. Is that a correct answer?