Some local rules from Beech Park and other FAQ

What happens when my all lies on the path on the 10th or 13th.

In Beech Park, you have a free drop off the path to the nearest point of relief. 

However, what's really important is that you need to go to the nearest point of relief (not the nicest point of relief).  This may mean dropping your ball back into the bushes on the 10th or 13th.  

My ball is lying against the scratching post on the first.

The scratching post is an integral part of the Course in Beech Park. 

Therefore you have no relief and must play the ball as it lies 
(a bit unfortunate considering you must have striped your ball down the middle of the first!)