1989 Toyota Camry gear not engage from shift selector

I got no engagement of gears with shift selector in any of the positions (D, R, 2 or L). Shifting action is smooth. With the engine running, the car is not moving at whatever position if shift to. Also, shift indicator on the dash is not showing for R when I shift to that position. All other positions are ok, i.E. Dash indicator would show(light up) at P if I shift to P, ect.

With the shifter at park position I can still push the car arond as though the parking mechanism is not engaging

This all started when I was starting out at a stop light and suddenly the car won't move when I step on the gas pedal.

Appreciate any tips.