Hi Bill! Welcome to a Mac! I am sure after a few days you will really, really enjoy it.
Let me expand on icon's answer. The right click is not activated by default, but you can have it (just like in windows) if you go to "System Preferences", mouse and check on "secondary click". If you got one of the new iMacs and it came with the Magic Mouse, then you will have to press only with one finger on the right side (do not rest your left finger on the left side of the mouse while you do that, in order of the sensor to understand you want to do a right click).
About the delete key, there is on on top of the ] and \ symbols (the second row above the return key. In a Mac, most programs, including the Finder, you need to press "command" and delete at the same time (when you want to delete an item).
If you want "delete to the right" or deleting to the right of the cursor, you have to press "function" and delete at the same time to register as delete to the right.
If you are interested, there is a way to also add a "delete" icon on the icon-bar of the finder window. Let me know if you want to do it and I will explain the process.
I remember when I got my first Mac 8 years ago, I was so frustrated at the beginning. After a month, I knew I couldn't go back to windows.
Don't hesitate to ask if you need more info about how to use your new Mac.
There is a universal spell check. It will work even if you are writing on a text frame inside of a web page (like the one you used to write your post). Misspelled words should have a red underline.
Gus