Definately should break into the 13's with slicks and those mods... I consitantly ran 13.50x on average in my Si Coupe with nothing but a Stock R motor, AEM CAI and Apexi WS exhaust so yes its possible for you to get into the 13's with those mods.
I might warn you though with the Apexi N1 exhaust... I just baught one for my car and I run a test pipe as well and its quite loud... Just be aware that the car will be VERY loud and raspy at WOT. I personally think the sound is annoying, but I baught the exhaust for the performance gains.. Just start telling all your friends that "fast cars aren't loud, loud cars are fast." Good luck, you'll be happy with your setup.