what are difficulties in taking ice and steam points as two fixed scales?
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Fixed points are used in calibrating thermometers. To calibrate a thermometer is to mark a thermometer so that you can use it to measure temperature accurately. A fixed point is a standard degree of hotness or coldness such as the melting point of ice or boiling point of water.
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Answer:
Ice and steam points occur at different temperatures depending on pressure and hence on altitude.
At a high altitude with lower air pressure water will boil (and form steam) at a lower temperature than at sea level. Similar problem exists with freezing point of water.
So using this to calibrate a thermometer would give different results depending on where you measure it, and even the local atmospheric pressure at the time of measurement due to the weather.