relationship/table design question

Hi all, new to postgresql and I have a question about how to lay out my
database.

I have a database with 4 main tables, organizations, contacts, events,
grants. My thinking here is that organizations can have contacts, sponsor
events,
and sponsor grants, so it is what I would call
the main table.  I know how to set up the other tables so that they have a
reference back to org_id.  (Basically a foreign key).

How would I handle it (set up in SQL) if I want to be able to assign a
contact to an event.  In the event table, would I make a reference back to
the contact table?  Can I have more than one foreign key reference per table
going to seperate tables?  Finally, can I make the reference constraint be
able to be NULL.  Meaning, can I make it so that an event can, but doesn't
have to have a contact assigned to it?

The tables (a simplified view) would look like this...

Organization Table:
org_id
org_name

Contact Table:
contact_id
contact_name

Event Table:
event_id
event_name
reference back to org_id in org table
reference back to contact_id in contact_table but there doesn't have to be a
contact associated with this event.