Glad to see you, Abraham 1313.
Besides what Aabraxan said, check your game Preferences (Control + P). Make sure you have checked (turned blue) 'Wait at end of turn'. This will give you a chance to examine your world before you continue. Otherwise, the game will flow too fast. Remember, this is a Turn-Based Strategy game, not a Real-Time Strategy game.
I'm not sure what you mean by the #3 Tutorial. Sorry.
Also, what version of Civ 3 are you playing? There were three versions of Civ 3; the initial release (referred to as vanilla), Play The World (PTW) and Conquests. Each one added new things and new civs. Scandanavia was added in PTW and Sumeria in Conquests.
There was also something called Civ 3 Complete (C3C), which is a 3 disk set, one install of all three versions, fully patched up. Most of us here have that. It plays the same as the others (though it does default to the Conquests version) and is just easier to maintain. It can be found in stores for about $20 and online even cheaper.
Vanilla was fully patched at verson 1.29f.
PTW at 1.27 something.
Conquests at 1.22.
With C3C, this is all done for you, which is nice.
Posting a save is good way to get help. When you do, include things like Difficulty level, map size, land type and number of opponents. These four things make a big impact on your game. Also, if you adjusted the Aggresiveness level any. Things like age, humidity and such, while important, have more subtle impacts than what you describe.
It sounds like you might be playing on a Tiny map and have Aztecs as your neighbour. But I could be very wrong.
And yes, there is a lot to learn, but it can be done.