Based upon the information provided…
My curiosity/concern is not so much with the stress at the rafter/wall junction, as I am with the method of connection of the ledger/facia board to the house rafter ends. I have no concern of the 2x4 rafter connection to the ledger. Even though you state that your area has little snow accumulation, it would not take much, with the wrong hangar/connector over time, for downward pressure to cause the entire carport roof to collapse. I see alot of ‘crap’ work in my area on patios, decks, carports, etc… that has caused me to take a triple look at connections. I am in no way an expert on available connectors and their use, but I cannot think of a single hangar out there that would be appropriate for this connection when considering the transfer of download forces upon it. I browsed through the Simpson/StrongTie products, and find no connectors listed for this connection/load. Maybe I just missed it, dunno. http://www.strongtie.com/products/category_list.html
Also, as obvious as this sounds, whatever hangar method was used, was there a proper fastener *in every hole? *I find that 90% of the time there is not. Every hangar manufacturer states every hole must have a proper fastener in it.
Hope this was some help to you.