I have been programming in C# and Java for a little over a year and have a decent grasp of object oriented programming, but my new side project requires a database-driven model.
My guess off the top of my head:
On the topic of inheritance I would suggest having 3 tables: Event, ShiftEvent and StaffEvent. Event has the common data elements kind of like how it was originally defined.
The last one can go the other way, I think. You could have a table with category ID and product ID with no other columns where for a given category ID this returns the products but the product may not need to get the category as part of how it describes itself.
I also got to understand database design, SQL, and particularly the data centered world view before tackling the object oriented approach. The object-relational-impedance-mismatch still baffles me.
The closest thing I've found to getting a handle on it is this: looking at objects not from an object oriented progamming perspective, or even from an object oriented design perspective but from an object oriented analysis perspective. The best book on OOA that I got was written in the early 90s by Peter Coad.
On the database side, the best model to compare with OOA is not the relational model of data, but the Entity-Relationship (ER) model. An ER model is not really relational, and it doesn't specify the logical design. Many relational apologists think that is ER's weakness, but it is actually its strength. ER is best used not for database design but for requirements analysis of a database, otherwise known as data analysis.
ER data analysis and OOA are surprisingly compatible with each other. ER, in turn is fairly compatible with relational data modeling and hence to SQL database design. OOA is, of course, compatible with OOD and hence to OOP.
This may seem like the long way around. But if you keep things abstract enough, you won't waste too much time on the analysis models, and you'll find it surprisingly easy to overcome the impedance mismatch.
The biggest thing to get over in terms of learning database design is this: data linkages like the foreign key to primary key linkage you objected to in your question are not horrible at all. They are the essence of tying related data together.
There is a phenomenon in pre database and pre object oriented systems called the ripple effect. The ripple effect is where a seemingly trivial change to a large system ends up causing consequent required changes all over the entire system.
OOP contains the ripple effect primarily through encapsulation and information hiding.
Relational data modeling overcomes the ripple effect primarily through physical data independence and logical data independence.
On the surface, these two seem like fundamentally contradictory modes of thinking. Eventually, you'll learn how to use both of them to good advantage.
There are several possibilities in order to map an inheritance tree to a relational model. NHibernate for instance supports the 'table per class hierarchy', table per subclass and table per concrete class strategies: http://www.hibernate.org/hib_docs/nhibernate/html/inheritance.html
For your second question: You can create a 1:n relation in your DB, where the Products table has offcourse a foreign key to the Categories table. However, this does not mean that your Product Class needs to have a reference to the Category instance to which it belongs to. You can create a Category class, which contains a set or list of products, and you can create a product class, which has no notion of the Category to which it belongs. Again, you can easy do this using (N)Hibernate; http://www.hibernate.org/hib_docs/reference/en/html/collections.html
Sounds like you are discovering the Object-Relational Impedance Mismatch.
The products shouldn't even know that the categories exist, much less have a data field containing a category ID!
I disagree here, I would think that instead of supplying a category id you let your orm do it for you. Then in code you would have something like (borrowing from NHib's and Castle's ActiveRecord):
class Category
[HasMany]
IList<Product> Products {get;set;}
...
class Product
[BelongsTo]
Category ParentCategory {get;set;}
Then if you wanted to see what category the product you are in you'd just do something simple like:
Product.ParentCategory
I think you can setup the orm's differently, but either way for the inheritence question, I ask...why do you care? Either go about it with objects and forget about the database or do it a different way. Might seem silly, but unless you really really can't have a bunch of tables, or don't want a single table for some reason, why would you care about the database? For instance, I have the same setup with a few inheriting objects, and I just go about my business. I haven't looked at the actual database yet as it doesn't concern me. The underlying SQL is what is concerning me, and the correct data coming back.
If you have to care about the database then you're going to need to either modify your objects or come up with a custom way of doing things.