03 LS Transmission Identification Help!

Transmission hiccup update. Alright guys I have had decodes for a few days now and been doing some research on my own to see what I could find. Here are the codes that were present;
P0745-Line pressure control solenoid fault
P0734-Gear 4 incorrect ratio
P2106-Tag system forced limited power
P2135-Throttle pedal position sensor switch fault
Ok my first question is; Is it possible that the code P0745 is the reason for the other codes or, is that too out there, to be possible??
The second question and most important how can I be certain on what transmission is in my 2003 3.9 Lincoln LS that was manufactured 03/03? With my limited knowledge there could be one of these three I suppose; 5R55N 5R55S 5R55W. I'm getting ready to order parts and, I am not sure what transmission to order them for. I think it’s the 5R55N but, not a 100% sure on it. I have notice a tag on the left side of the tranny will this have the correct number on it I am looking for?
Well the fix, it doesn’t look too bad….Nothing like the removing the heads.(that was something else but, with the help of a couple of friends WE conquered the challenge and have the peace of mind knowing it was done right the first time..copy that)
How bout anything else I might need to know. lol

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yes the tag located on passenger side of trans will have all you need if yours comes off take it with you to order parts or right every thing down carefully( located on the flat surface http://i.ebayimg.com/00/s/NzUwWDEwMDA=/$(KGrHqF,!lkE5YL+-DG0BOcmmeer0Q~~60_1.JPG?set_id=8800005007