The header beams are 6x6 beams/posts 10 foot span between posts.
When I mentioned the header, I was referring to the header over the door, shown in the first two pictures you posted, not the header beam(s) for the deck roof.
In ohio,code does not require notching the post and two lag bolts per post is code.
It may be minimum-code (in Ohio) to use only two lag bolts, but more than 25 years of experience has taught me that it's much safer to notch the support posts for the beam, because anything less (IE: two lag bolts) puts the deck at risk for a possible collapse.
I suggest that you refer to the International Building Code (Also known as the Uniform Construction Code), which is likely to be more up to date with the latest reccommended best-practices.
For more information, see the following document from the American Wood Council, which is derived from the International Residential Code, and is the source of the pictures (page 8) I posted previously.
Residential Wood Deck Construction Guide:
http://www.awc.org/Publications/DCA/DCA6/DCA6-09.pdf