To get 1.6A through a 4 Ohm load, you need 4 x 1.6 = 6.4V RMS.
The amp must be capable of providing a peak voltage across the load of at least 1.414 x that, so more than 9.05V positive and negative.
You need a higher input voltage swing.
The transistor base current will reduce and the input moves away from 0V. You could add capacitors from input to base either way (across the diode pairs) or try "bootstrapping", split R1 and R2 into two series resistors each, with capacitors from the amp output to the resistor junctions.