I have not had any problems with NE5532 oscillation.
I have some questions:
1. Have you performed a thorough visual inspection? I see that all of the resistors and C5 are correct. The outboard wiring looks good. I can't read the other caps or get a good look at all of the solder joints.
2. Do you have insulators on the BASS & TREBLE pots?
3. Does turning the BASS, TREBLE or DRIVE pots cause the oscillation to change?
4. What does the oscillation sound like? Buzz, squeal, warble?