Hi,
I cannot say for sure whether this issue and the initial one are related. As for the latest issue, most probably, it is caused by the fact that TestComplete's process was abnormally terminated previously. Let me know if TestComplete does not work properly after you choose "Yes" for such dialogs.
BTW, the latest issue can also be caused by a malfunctioning hard disk on the problematic PC. So, if you suppose that this situation can take place, check whether the issue can be reproduced on another PC and check the hard disk.