Good start! Confidence is the hardest step. I'm a diyer too but I'll try to get the ball rolling with a few pointers I would use myself. Although I'd be asking on here too..
I think the main thing you need to get right is the structural stability and connections - you don't want it collapsing on you. Make sure the cross beam is firmly anchored into the wall. Also with the way you have the rafter (sloping member) it will be pushed away from the wall by the force from the wall cross beam. Normally carpenters get around that by doing a "birdsmouth cut" at the top and bottom of the rafter, but assuming it's only a bit of wood, you could get away with strapping it on.
You also need to worry about diagonal stability, basically it not folding up on you. Normally you'd nail some kind of wooden deck or wall board to the structure to keep it straight, so you'll need some diagonal either on the top or on the front. Or you could concrete the posts in well I suppose.
Regarding the connections, I can't see how you've done them, but try to use fixings that won't rust away outside. And where there will be difficult angles like fixing the rafters, you might need some galvanised strapping or brackets to stop things falling off each other.
Regarding durability, try to avoid any horizontal surfaces the water may collect on the timber. Either cut things or fix them at an angle, or cover them somehow (even fence posts have capping on top for this reason)
Good luck, and I'm sure you'll get more help on here later!
