What word should go into the final box?

What is the lateral connection behind the creation of 10-oin bowling, mime artistry and ice-cream sundaes?

This puzzle uses a well-known optical illusion.  In each case, select the arrow head that you think goes with each flight.

What four-letter work can be made from the letters you have selected?

How many moves away am I from completing this sliding block puzzle?  A move consists of moving a row or column of tiles (or part of one).