I find the question a bit confusing, perhaps you could clarify. MPI_Request is a type; if you declare a table of values of this type on one process then it is only available to that process, in line with any other variables declared.
Data of type MPI_REQUEST is usually used as handles for immediate sends and receives (ISend, Irecv), to allow the sending and receiving processes to test that the message has been received, using MPI_Test or MPI_Wait/MPI_Waitall/MPI_Waitany.
MPI_Comm is also a type, but perhaps you mean the default communicator itself which is of this type ? This is known to all the processes because MPI_Init which (effectively) creates the default communicator is a collective operation.