Are you running any sort of Anti-Virus etc. on the Server? You might want to... make sure you check the install Guide "Using McAfee VirusScan Enterprise 8.0i and later" for details of which processes to exclude.
Secondly, as far as i can tell FSAPI.exe has no reason to touch that .dll... have you run process explorer or something to prove that's the process that's trying to access it?
if you have proof, then opening an SR is the next step for sure.