No... you build too much
The AI builds the correct number of buildings, which, surprisingly, is very low!!
Some civs (Like the Aztecs) make more units than others. Ultimately, you should NEVER build Libraries / Universities in a production city, and only build Markets and Grocers when the city NEEDS Happyness / Healthiness, and there is no better cost effective situation. (And lets face it, if you still play like you did previously, when you provided that save, and still haven't bothered to change anything, then Markets and Grocers are never likely to do much help)
If you find yourself with a low power rating, stop building so many buildings, and instead, build military units in EVERY city. This will rapidly make your power rating jump up to an acceptable level. Also, early on, you should find your best production city, and build:
Barracks
Stable
Forge
Heroic Epic
Happyness / Healthiness buildings WHEN REQUIRED, but use the whip (with Slavery) first.
And everything else.... build military units.
[Edit] And I will refuse to help you any more, until you learn to STOP DOUBLE and TRIPLE POSTING!!! Its REALLY bad Forum etiqutte, its hard to read, and it doesn't flow. There is an edit button. Use it. Its down at the bottom right of your post. Its big, and red, and called "Edit"[/Edit]