Are the brackets properly placed? (Photo)

The lower front ones could be higher and will have to be moved higher at some point to get your lower front teeth leveled out.  That may just be the way your doc does things though.An ortho that is moving fast is more likely a sign that they know exactly what they are doing.  I would be more worried if they were going slow and having to really examine everything. 

HelloAs you mentioned bracket placement is very important. It is science and art at the same time and there are many points to consider when bonding brackets. Since you just got braces you will need to allow your wires to work and  "cook" for a while. This phase might take up to 6 months , afterwards your Orthodontist will perform an evaluation and determine which brackets will need to be reposition to achieve a higher esthetic or functional result.Don't worry everything will be fine and you will have a beautiful smile!

The brackets look good. Give it time. Brackets are repositioned throughout the procedure not just put on once and that's it.