Welcome to the org!!
It's common for the 03's to have ICP sensor and plug/wire issues. Ford actually has a TBS about this. The sensor fails due to oil leaking thru the sensor and shorts out the sensor, or the oil sits on the wiring insulation along with heat from the turbo, and causes the wire to be exposed, causing a short or erratic running issues.
Like said, the turbo could just use a cleaning or possible sticking vanes from soot/rust/or cracked unison ring. With the 03's, if the batteries have been disconnected for a prolong amount of time, you may have to so a "VGT relearn" procedure. The EGT might need a cleaning, while your at it, check/clean the MAP hose and nipple, a long with the EBP sensor and tubing.
Get yourself a monitor solution, this will help check the health of the motor (i.e. Oil cooler issues). Plus will help diagnose and trouble shoot current and future issues.
Here is a copy/paste of VGT relearn.
KAM (keep-alive-memory) reset & VGT learn procedure
1. Drive the truck until the engine and transmission have reached normal operating temperature.
(The VGT learn procedure requires that the oil and coolant temperatures be at normal operating temperature)
2. Flash truck back to stock (Only need to do this if running a tuner or module)
3. Turn on the headlights
4. Disconnect both batteries
5. Short out + to - battery cables to each other (Make sure both batteries are disconnected before doing this).
6. Let truck sit like this for 10-minutes
7. Turn off the headlights.
8. Re-connect batteries
9. Cycle the key to the run position twice. Pause in the “ON” position each time until the wait to start lamp goes out (minimum 5-seconds) and pause in the “OFF” position each time for 10-seconds to be sure the PCM has "gone to sleep".
10. Start the truck and let it idle for a minimum of 5-minutes at normal operating temperature. This allows the PCM to learn the EGR valve closed position value. Also you will likely hear the turbo pitch change several times during this period as the PCM learns the necessary duty cycles for accurate VGT control.
11. Complete the road test Drive Cycle:
15 miles of mixed driving (*should* be enough in most cases) to allow the PCM to "re-learn"
its adaptive strategy. Note: Anytime the batteries are disconnected, the PCM will throw the
P1000 code until the “Drive Cycle” is completed. As for the Tow/Haul mode, the transmission
must re-learn your driving style and loads hauled again as this was cleared when the truck was
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