1806 British Penny: Two Types?

I am not very up to speed on British coins so I need some help IDing these two attached coins.

I initially thought that both are King George III coins made during the Napoleonic wars having a KM # of 663.

Then I thought I should double check since it would not make sense that the same denomination coin is made using two different diameter coins. The large one measures 34 mm diameter while the small one is 28.8 mm.

Please identify each coin insofar as correct denomination, km #, etc.

If you wish to weigh in on the grade of each coin that would be helpful but that is not my primary focus in this thread.

Thanks

PS: I attached a photo of the small coin's date just in case I was wrong about the date or if you see something unusual going on with this date.