Technician reported communications problems and software issues when trying to route engine fuel nozzles to a vendor for repair.

Narrative

On Date I was assigned to the fuel nozzle mod on the Left Engine; Aircraft X. I documented the MPNs and SNs of the removed fuel nozzles on card number 1 as well as 5 non-routines; NR1; NR2; NR3; NR4; and NR5. On Date1; a week later; Stores Manager notified me that I documented the wrong MPNs and SNs. The fuel nozzles were never shipped out to the vendor. Instead; used fuel components sat in ZZZ Stores for a week. He also stated that only I can correct the info on the unserviceable tags. Since there is no signature or stamp on the unserviceable tag; his instruction was diametrically false. Any stock clerk could make the corrections on the unserviceable tag. I asked Stores to print new unserviceable tags using the existing tracking #. They said it was impossible because all 18 fuel nozzles were received. The resultant corrections on the unserviceable tags made the document almost unreadable. Since the error was pointed out to me; I had to void and correct the rotatable parts info on the aforementioned non-routines. Then I had the clerk rescan the non-routines to the software. However; the non-routines could not be reopened in a different program to update the parts info. Ergo; I had to file a message.The paperwork burden on the mechanic is overwhelming and a distraction from the actual work. If Stores can process parts after discovering an error why is the mechanic's participation even required? Encumbering mechanics with needless administrative work is a distraction which ultimately leads to human errors. The overwhelming paperwork saddled onto mechanics is leading to an unsafe environment; parts entry into the program; Technical Service Items with unreadable language; documentation that is worse than an MIT entrance exam; etc. All taking the mechanic's critical attention away from the actual maintenance.