You don't need both R0 and R4. And I would think 10K would work ok, but thinkfat is the expert on that.
Yes, just drop R0 and make R4 5k. I've used 5k before, worked for me. You should be able to compute a value based on the leakage current of the diode on the power path.
The datasheet of the SS32 gives a reverse current between 10µA and 1mA for a temperature range between 25°C to roughly 100°C. Just dimension the resistor so that at 1mA current, the voltage never rises above the turn-on voltage of the TP5400. I think 5k is a good value, 10k might be too large already.