How to get Golden Shovel

Here is a good video that shows a strategy for catching bees:

Basically, you want to run away from them as soon as you can, and wait for them to follow you (run 6-8 squares away), and the moment the bees come on screen, press A as soon as they appear and you should catch them. In the video, she suggests running up, so you don't have to really turn much to be facing the bees when they appear.

Yes as long as you have the special circumstances,http://www.thonky.com/animal-crossing-new-leaf/golden-and-silver-tools/, you should be able to obtain it. Hope this helps.