Will getting married to another SM here at Fort Bragg cause my orders to Korea to change?

Would your orders change before you're married? No.
Will they change after you're married? Maybe, but you'll have to push the system.

AFTER you have a marriage license and are officially married, you both can enter into the Married Army Couples program (MACP)*. To quote the regulation (AR 614-200), "enrollment in the MACP does not guarantee reassignment together but does ensure that both Soldiers will be automatically considered for future joint-domicile assignments."

Once enrolled, then you can push the Army to relook assignments under the MACP. It's possible you could be extended, she could be curtailed, or that one is sent and the other follows. It all depends on what assignments are possible, how many round pegs they need in round holes at the different locations, etc.
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* https://www.hrc.army.mil/content/Married%20Army%20Couples%20Program

No, they definitely will not. But you can request a HAAP back to your location to rejoin your spouse, or they can reenlist for an assignment and you can meet them there.

Not necessarily it depends on a lot of factors. A good source here on RP is SFC (Join to see) he can give you all the Pertinent information.