I find your circuit works well in simulation. 12x gain at 33 kHz.
As long as there is some incoming signal, there are no oscillations at any frequency from 1k to 60k.
However when I disconnect the input resistor, it oscillates at 16 kHz. It is not too different from the relaxation oscillator configuration.
The output is a square wave rail-to-rail, like your scope trace.
It might help to install a resistor somewhere, but it needs to be at a spot that will not result in Q being reduced.