Hmm. A shield-and-shortsword warrior in core-only 3E, approaching the levels where casters turn into minor deities, with limited access to suitable magic items... I believe we have a challenge. 
Since you fight with a light weapon and don't go in for heavy armor, I suggest re-building your character as a barbarian with a dip in rogue. Three levels of rogue works pretty well, as that gives you 2d6 sneak attack but only costs you one point of BAB.
This should work out better for you than a straight fighter build. Rogue sneak attack and barbarian rage will beef up your damage output while adding a bit of tactical complexity, and you can coordinate with your fellow rogue to flank enemies every chance you get. You also get a wider array of class skills and more skill points to put in 'em, improving your effectiveness out of combat. Put your first, seventh, and eighth levels in rogue to get the most out of your skills.
Just make sure your DM is okay with letting you use sneak attack while raging.
An alternative would be to stay a straight fighter, but wield a longspear or glaive and specialize in that. This is actually much closer to how the Greeks fought--the spear was the main weapon, the sword was a sidearm used only in emergencies. There's a lot to be said for reach weapons! Get Power Attack, Cleave, and Combat Reflexes if you've got the Dexterity. Then stand in front and watch enemies cry as they try to close with you.
And yes, definitely get a cohort! That gives you lots of options for both roleplaying and combat fun, and lets you try out new classes without giving up your old PC. (It's also the only feat that gives you a hope of keeping up with the casters as you pass level 10. Leadership is the single most munchkin feat in the Player's Handbook. Make sure your Charisma is at least 12 and ideally 14, to keep your cohort's level maxed out as long as possible.) If you want to stick with your ancient Greek theme... Achilles and Patroclus, that's all I'm sayin'.

Since you fight with a light weapon and don't go in for heavy armor, I suggest re-building your character as a barbarian with a dip in rogue. Three levels of rogue works pretty well, as that gives you 2d6 sneak attack but only costs you one point of BAB.
This should work out better for you than a straight fighter build. Rogue sneak attack and barbarian rage will beef up your damage output while adding a bit of tactical complexity, and you can coordinate with your fellow rogue to flank enemies every chance you get. You also get a wider array of class skills and more skill points to put in 'em, improving your effectiveness out of combat. Put your first, seventh, and eighth levels in rogue to get the most out of your skills.
Just make sure your DM is okay with letting you use sneak attack while raging.
An alternative would be to stay a straight fighter, but wield a longspear or glaive and specialize in that. This is actually much closer to how the Greeks fought--the spear was the main weapon, the sword was a sidearm used only in emergencies. There's a lot to be said for reach weapons! Get Power Attack, Cleave, and Combat Reflexes if you've got the Dexterity. Then stand in front and watch enemies cry as they try to close with you.
And yes, definitely get a cohort! That gives you lots of options for both roleplaying and combat fun, and lets you try out new classes without giving up your old PC. (It's also the only feat that gives you a hope of keeping up with the casters as you pass level 10. Leadership is the single most munchkin feat in the Player's Handbook. Make sure your Charisma is at least 12 and ideally 14, to keep your cohort's level maxed out as long as possible.) If you want to stick with your ancient Greek theme... Achilles and Patroclus, that's all I'm sayin'.

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