When you visit your dealership, have them (and join in if you're allowed into the shop) examine the oil after it's drained. This is important to ask beforehand since some shops use a large funnel/collection tank apparatus that is placed under the car when it's on a hoist. If such a contraption is used, it's hard to view the oil as it flows, and it's collected into a tank and mixed with other customers' oil, making diagnosis impossible. Ask them to use a smaller catch pan or tray to allow examination of the drained oil, and also examine the filter. They hopefully can provide experienced advice, but if the oil has visible metal shavings, debris or other anomalies, that would suggest rapid wear.
I agree with others that the low-oil-pressure light cannot be relied upon to indicate low oil pressure- a failed sender, poor electrical connection, etc. may prevent the light from illuminating during a critical state; also the threshold under which the light would illuminate under the best scenario is typically far under the normal acceptable oil pressure. It's more of a critical alarm than a warning.
Ask the dealer to test the engine for oil pressure- this is typically done by first ensuring oil level is normal, then removing the oil pressure sender and installing a trusted oil pressure gauge. The engine is run at various speeds and the indicated oil pressure is compared against a table of normal oil pressure values at different engine speeds. The 'sender' is your factory-equipped sensor that is screwed into the engine block to measure oil pressure. In vehicles with an oil pressure gauge, this is the device that feeds a signal to that gauge. It's far more common for vehicles like yours to omit the gauge and rely on a single warning light. This oil-pressure test will hopefully demonstrate that your oil pump is functioning correctly- important because the oil pump is susceptible to damage from excessively dirty oil, and is critical to maintaining oil pressure.
Finally, moving forward, get into the habit of checking your oil. Immediately after getting every oil change, check the level; make sure whomever you're paying for the change is filling new oil to the proper level. Every time you stop for fuel, check your oil- for both level and color. New oil has a honey color and becomes darker over time. Maintaining your 5k oil change interval is good practice, but it's important to become familiar with both the rate at which your oil level drops, and the oil color changes, between your oil changes. This can help head off problems. Some oil consumption is to be expected, but rapid consumption may suggest poor cylinder sealing, excessive turbo seal wear, etc. Check your tailpipe when the engine starts up and rev it a bit (don't use excessive engine speeds while the engine and turbo are cold) and see if you notice white or blue smoking. Blue smoke typically indicates burning oil, and this is a sure sign of needing a mechanic's diagnosis.
The easiest way I check my oil is to grab three of the free towels your service station hopefully provides next to the windshield squeegee. Put one towel in your dominant hand and two into your other, and fold them into squares as you like, them palm them in your hands. Use them as you would a potholder, to open your hood and fix the prop rod (if your hood doesn't use springs or struts to keep it open). Fold over the two towels once, so any dirt/dust from the prop rod or hood edge that got on the square is concealed and won't contaminate the dipstick. Use the hand with the single towel to pull the dipstick out fully, and the two towels to wipe it clean. Reinsert it fully, remove it fully, and examine the oil for level and color. The two-towel hand can support the dipstick as you reinsert it to prevent a shaky hand from letting the dipstick miss the dipstick hole and strike your engine, which would get your dipstick dirty. Remember that dipstick is going back into the engine oil. Then fully reinsert the dipstick a final time, fold the two-towel square again, so no oil wipe is exposed, store your prop rod, and let the hood drop. If you fold the two towels enough times, you will have enough thickness to keep the oil off your hand and have one fold remaining to keep the oil off your prop rod as you store it, and both your hands will be clean afterwards. You'll find your own way of doing it- the key is to get into the habit of checking it regularly. Good luck at the dealer!