Congratulations on getting a roof installed!
However I'm going give my criticism and say this has major design flaws in how the roof is being supported (or not supported in this case). As-is this roof has no redundancy in the design in terms of continuing the load path from roof, down to the ground. Everything looks surface-mounted with only hardware and no wood underneath these crucial support areas. Given the large size of that roof I would say it's not an acceptable design, even for a chicken coop, and I would for sure make changes for safety reasons.
From your build pics, both front and rear horizontal 2x4s being used for a top plate/support beam between the 4x4 posts, are only surface-mounted using hardware; hardware can shear off, thus is not safe to rely on for supporting loads. I think the 2x4 would be ok supporting this lightweight roof as long as it was supported underneath, but it's not currently. All those areas where the 4x4 posts connect to it, absolutely need wood underneath, to continue the load path down to the foundation and create redundancy. Even if you did the minimum and simply sistered a 2x4 "jack stud" underneath the beam onto the 4x4 posts, this would be a MUCH safer design. If you didn't want to do this, you could alternatively cut a rabbet/shoulder into the 4x4 post and recess these horizontals - this is how I supported my roof structure instead of sistering lumber together.
Same thing with the roof - those 2x4 hangers/columns are only surface mounted at both the top and bottom of them, relying on fasteners only. First you need to address the horizontal support beam underneath, then you can redesign these supports to the roof. You may be able to sister another piece of 2x4 between the rafters and the horizontal beam, so the load path is continuous to the ground.
Sorry if it seems I'm bashing on your accomplishment, but IMO it's definitely unsafe and hopefully you can see the reasons why. If you need help figuring out exactly what to do, myself and I'm sure others would be willing to help you make the necessary design corrections without tearing down the roof and starting all over.