Your oil light has nothing to do with your tires being rotated.
Your oil light signifies you have low oil pressure. Check your engine oil level. If it's full, you will need to have someone check your oil pressure. If it's missing oil, top it off with oil, verify the light turns off and check to see where its leaking from.
Either case, please don't drive this car until you look into this problem. You may cause damage to the engine.
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No, they are both different. Disregard previous answer.
Your A/T oil light is definitely from your transmission. First, check the level of the trans fluid with the car running. Make sure it's full and bright red. If it's not, you should have the fluid replaced and hopefully it doesn't come back on.
If it's full and bright red, you will need to take it in if the light comes on again. It can be as simple as a transmission sensor or something major such as a transimission pump.