I was suspecting the ClickPLC needed a long delay between packets, but this does not seem to be the case. Looking here:
09:05:02.253 RCVD 1,3,12,106,5,66,18,176,0,70,179,86,160,64,170,
09:05:02.294 Send 2,3,112,2,0,6,126,251,
09:05:02.398 Send 1,3,112,2,0,6,126,200,
09:05:05.148 Send 2,3,112,2,0,6,126,251,
09:05:05.569 RCVD 2,3,12,58,154,66,23,0,0,0,0,152,252,64,176,
There is a 41ms delay between receipt and next request. At 38400 baud, the Modbus requirement is only 1.75ms. When one node does not respond, it looks like the other node does not respond either in every case. What are you using for an RS-485 adapter?