[Orgmode] Newbie Questions

[Andrew M. Nuxoll]

Ok, newb here.  I have only been using org-mode for a few days now.  But 
I've been an emacs guy since 1992, I have read the manual and I've also 
searched the archive of this mailing list.  So, forgive me if these 
questions are repeats.  Also, Dominick said you had to be nice to me 
while he was away.
1.  When I view my agenda for a day it displays TODO items twice if they 
are both SCHEDULED and DEADLINEd (a common occurrence for me).  Can this 
be avoided?  Here's a generic example snippet from my agenda:
   Thursday    9 July 2009
     nux:        Scheduled:  TODO [#B] Call Mary :PROJECT::
     nux:        In   1 d.:  TODO [#B] Call Mary :PROJECT::

2.  Once a TODO item has been marked as DONE, it still shows up on my 
agenda.  Can this be avoided? 

Meta-Comments on Questions 1&2:  I realize I have the option of using 
the "ToDo Items" agenda view instead of the day/week agenda view but 
that doesn't work for me because I use the SCHEDULED property as a way 
of selecting a small subset of tasks for the day from a long list of 
TODO items.  I also rely heavily upon repeating tasks to automate most 
of this.  So maybe the solution to #1 and #2 is to use a custom agenda 
of some sort but I don't see an obvious way to create one that does what 
I want.
3.  Once I set a deadline for a task, it'd be nice if the priority would 
increase as the deadline approached.  Ideally the  criteria for 
increasing the priority could be specified via a customizable formula.  
Does this functionality (or anything like it) exist?
Thanks,
:AMN: