Cummins running ruff

[ashdan2010]

2009 prostar cummins 871 680,000 miles. 2 questions. When I first crank the truck up engine fan cycles on and off is this normal or do I have a problem.
Second thing is when engine is cold it has a hesitation or miss. Rpm doesn't fluctuate, but you can definitely feel it and when she warms up it goes away. Any idea of what can be causing these problems. Thanks in advance for the help.