The correct transition word to link the two sentences would be conversely.
Let's cut the chit chat, and formalities. I'm not one for greetings or unnecessary niceties.
The answer is A.
Why?
Because a run-on consists of two or more independent clauses that are not separated by a colon or semicolon.
This is evident in Choice A
Answer:
<em>I</em><em> </em><em>HOPE</em><em> </em><em>IT</em><em> </em><em>WILL</em><em> </em><em>HELP</em><em> </em><em>YOU</em><em> </em><em>A</em><em> </em><em>LOT</em><em>.</em><em>.</em><em>.</em><em> </em>
Claudius feels A) frightened about Polonius' death, but not because of the fact that the old man was killed, but because of how this death will affect him as the king. He was afraid he would be framed for the murder.