I haven't installed yet but I have been researching.
No controller is included. The zap connection is basically shortcut wiring to the batteries. The size solar panel is up to you, your needs and your pocketbook. How do you plan to use your system? What size inverter do you plan to install based on usage needs? Then you can figure out how many amp hours of battery you will have. That will then help you determine your solar panel needs (size, efficiency, number). Search this site for "Solar" and you will find tons of experience and advice. There are some real experts on this site.
I am planning on starting with the inverter and batteries which I can charge with a generator. Then I can add solar panels to reduce the generator needs to keep my batteries topped off.
2015 Rockwood 8289WS
2009 Ford F-250