with three resistors you also share the dissipated power(heat) over the three of them.And what if one of your leds has a small variation in internal resistance.
If you want to use 80mA as forward current for each led, this means one resistor has to deal with 0,24A
I personal think the best model is made with usb power(5Volt) and paralel circuit.That ptc is not needed.
You can use a powerbank which are used for charching smartphones as a wireless powersource.