Both ESP and ABS dash lamps came on suddenly on my 2004 KIA Amanti.

Check for lose connection at the rear of the lights on ur kia.

The ESP light will come on whenever the abs light is on, this is due to the ESP system cant operate if the abs system is not working.The first thing you will have to do is scan the computer for codes. the computer will store a code whenever it sees a problem and then turn on the light to warn you theres a problem and then shuts down the abs system, there are many auto part stores that scan check engine lights for free as far as the abs system i am not sure you will have to check. the codes will tell you what part of the system has failed. for example there may be a code like C 1201 left front wheel speed sensor, this code will tell you theres a problem with the left frt sensor, it may be the sensor or the wiring or connector but with a little testing the problem can be repaired. the only thing is the esp and the abs are shut down, the car can still be driven you just wont have the abs. good luck and i hope this is helpful.