1)If the 60" is the length written on the bow then that is the string length to buy.
3)As for arrows, shoot a number of different shaft types spined to match your draw weight 45#'s Pick the one that feels/flys best with the weight tip you are going to hunting with.
3,4)Feathers off the shelf - vanes or feathers of a rest.
Keep in mind a recurve is designed to be shot off the shelf and is not centercut for a rest and this will cause the arrows to trackleft(for a right ahnd bow) as the distance increases due to the off center position caused by the rest(BTDT).
5)I have never tried to tune my recurve with paper so I can't say. Anyone else?
Advice I can offer is to start shooting at close distances. If you have shot compounds then spend a little time shooting the compound, paying attention to the flight of the arrow in relation to your pins. Then transfer this picture to the recurve. After a bit you will find that your compound shooting improves as does the instinctive shooting.
Good Luck and hope this helps!
Greg
"Getting close to the game is the joy of Bowhunting for me, the harvest is a bonus."

Live 15 ft Python after eating a small Antelope!