1. The ratio of Deg F to Deg C is 9/5, so the feedback resistor is 9K and the input resistor is 5K. There needs to be offset at the + input of the op amp to set the output to a particular voltage,for example: 2.12 volts at 100 deg C.
2. The ratio of Kelvin degrees to Centigrade is 1/1 but there is a difference of 273 degrees. To get 10 mV from 1 uA, the resistance is: R=E/I = 1K.