ELANTRA 2002; PEADO IN CHANGES P0500 AND P05001

Good afternoon.

I have a problem with the transmission in my 2002 Hyundai Elantra GT.

It only shifts below 1900 RPM, and if I accelerate further, the transmission goes into neutral and stays in first gear until I shift back to neutral and then back to Drive. It also makes a clunking noise when shifting.
The scanner showed codes P0500 (Speed ​​Sensor Malfunction) and P05001 (Speed ​​Sensor Operation Out of Range).
The strange thing is that the speedometer reading is correct, and I think the speedometer uses the same sensor.

Any help would be greatly appreciated.

Thank you.

Dear [Name],
for your information, diagnosing a problem with automatic transmissions requires more than just a scan. You also need to check the line pressure in each gear and inspect the oil for any metallic debris. Once you've done this, you can determine if the fault is electronic, hydraulic, or mechanical.
In your case, when it mentions speed sensors, it refers to the turbine's input and output speed sensors, which compare the turbine's speed.
I recommend taking your vehicle to a specialized service center where they can perform these tests and give you the confidence to carry out the correct repair for your specific situation.
Regards,
Marco

Update:

The P0500 and P0501 fault codes were caused by the right front wheel speed sensor. I replaced it, and the car shifted fine, but only for the first few minutes of operation. Once the engine temperature gauge reached a little over 1/4 of the way up while driving, the check engine light came on with code P0715 (Intake Speed ​​Sensor/Turbine Circuit Malfunction). Now, the problem is that it gets stuck in third gear. When braking, it doesn't downshift to first, and when accelerating again, it feels very sluggish. The next day, when it starts for the first time, it works fine again, but only for the first few minutes.

Any opinions or help would be greatly appreciated.

Thank you.