Yes i pressed the ring on to the carrier flush before i installed the ring gear. check out both the rear wheel senser and they are both with in spec. meaning the old one and the new one i bought

 

Do the pinpoint tests for the codes you have
It may need a processor or anything else
Only way to tell and confirm is by doing the pinpoint tests
The ABS has NOTHING to do with limp mode

 

P2106 is a fault code indicating engine has been put into limp mode. Step 4 of the QE pinpoint test for that fault asked if there are any DTCs in any other modules. From there if you get sent to step 12 it states to check for any ABS and wheel speed sensor concerns. So yes ABS does have something to do with limp mode.

 

what's the next step if you say yes ?

 

If step 12 is answered yes then move to throttle but the answer would have been yes on step 4 because of the C1230 code and one would be direct to fix that first. If it was made to step 12 the answer would be no because he has no rear speed sensor signal according to reply #15

 

You need to read between the lines in those books
Pinpoint tests just about made a lemon law car out of a 89 Super Coup T-Bird back in the day
Those tests wanted us to replace the ABS HCU 3 times when it was a ground fault the whole time
I figured that one out myself, after the engineer got involved and did his own testing, came back and said "let's replace the HCU"
I stand by what I said about the ABS having NOTHING to do with your particular limp mode (live and learn, I sure may be wrong).
You can bring down the ABS and drive away normally
The pinpoint tests generally DO have you check codes from other modules just in case

 

Got this from Gemini AI for the C1230 and limp mode. Can address the other codes later.

When you changed your 2004 F-150's gear ratio from 3.77 to 4.56, you triggered the limp mode and warning lights because the new ratio does not match the settings stored in the truck's computer, or Powertrain Control Module (PCM). You must recalibrate the PCM for the new gear ratio.
How your gear ratio change caused these codes

• Code C1230 (Rear Speed Sensor Input Signal Missing): Your new 4.56 gears have a different rotation-to-speed ratio compared to the stock 3.77 gears. Even with a new ABS speed sensor, the computer is comparing the new, faster rotation speed to what it expects from the original 3.77 setting. The mismatch in data causes the ABS system to detect a fault and illuminates the light.

Recalibrate the PCM: To correct the error, you must update the truck's PCM with the new gear ratio. This requires a custom tune or a programmer.

Popular tools for this purpose include:

• FORScan: A powerful software tool for Ford vehicles that can be used with a laptop and an OBD-II interface cable. It allows you to access and edit the truck's computer settings to enter the new 4.56 gear ratio.

 

AI is wrong a whole bunch
I read it but don't rely on it being correct (yet)

 

I don't buy the problem being caused by a gearing mismatch. I had a 05 with gears that were changed to 4.56, and once had to have the dealer reflash the PCM to stock after it was corrupted by a combination of a nearly dead battery and an edge tuner.
There were no drivability issues or codes after it was flashed back to stock.

 

..turn out when i wrnt threw the pin point test again the sensor brand new from oriely was out of spec reading 9.6 mohm took back to them the replaced it i check it at the store it was ok reinstalked limp mood and abs trouble code went away