While I was studying about shared library I read a statement
Although the code of a shared library is shared among multiple processes, its variables
Shared libraries are loaded into a process by memory-mapping the file into some portion of the process's address-space. When multiple processes load the same library, the OS simply lets them share the same physical RAM.
Portions of the library that can be modified, such as static globals, are generally loaded in copy-on-write mode, so that when a write is attempted, a page fault occurs, the kernel responds by copying the affected page to another physical page of RAM (for that process only), the mapping redirected to the new page, and then finally the write operation completes.
To answer your specific points: