First, take a better map

Joking.
-Your barracks placement is pretty bad. It should have at least 3 tiles in front of its entrance and 2-2 tiles next to it, and it shouldn't be in the middle of your city, to avoid jams.
-You'd need more farms. At least 1 more. Also, all the farms you have should have exactly 15-16 tiles of fields, preferably in front of it. Look at the 2 farms you have on the left side of the stone; they lack fields pretty badly, it's like 1/2 of the amount required.
-Tbh I didn't watch the replay, but I can see that you have a very low amount of swordfighters. Try to get your first iron mine before 25 minutes. That's already late, but let's don't go "pro level" first, shall we?

I can see that you have a very little amount of wood, is that the cause of late iron production? You should get ~6 woodcutters before going for iron production, so the timberflow will be continuous.
If you need more help, I guess you should watch Dicsoupcan's base building tutorials on Youtube. See his channel here:
http://www.youtube.com/user/AAPNL12/videos.
~offtopic mod-alike I guess this post should be in the "Review your Gameplay" topic.