I just purchased some new dome pistons that the manufacturer has said will raise my compression to 13.5:1. Now we can probably assume that it won't get that high; I'm thinking it will be 13:1. With that being said, will I be able to run 92 octane in my car with this ratio?

That sounds a little high for 92 octane pump gas. You can buy octane booster at any parts store. Is this a computer controlled engine with a knock sensor?

Yes it has a knock sensor, but I heard that the octane boosters don't really work. On the bottles they say that an increase of .1 is considered a boost. :( that's really crappy