Most likely the PWM driver has failed. When they go, a new Mosfet won't last long. Many simple inverters and switching power supplies don't have very good over load protection. Theirs not much to prevent the PWM from going to full 100% duty cycle under over load conditions. That puts the MOSFET in a full linear condition and they burn up catastrophically. This usually shorts the gate as well,
which kills the PWM.
Another thing that will damage a high frequency inverter are heavy inductive loads. The inrush current over loads the output MOSFETs. Some have a large output inductor and are less prone to this problem. Many cheaper models may have too small or no output inductor at all.