MacOS – iMovie does not open anymore with error in Console: -10699

While the three errors you showed are problems, none of them have to do with your current issue. The first one is due to a permissions error on incoming mail. See https://discussions.apple.com/thread/3184945?tstart=0 to fix. The second is just for handoff with iOS devices. It is not something to worry about. The third is an error on an old version of firefox. An update should fix it. It is described more in depth at https://bugzilla.mozilla.org/show_bug.cgi?id=804010

As for the problem itself, I would recommend going into Disk Utility and running a permissions repair. It sounds a lot like the apps got quarantined even though you have it set to allow all applications.

One approach that's forward compatible and will not get overwritten in an OSX update is to create a script that does ls -l Screen*.png (on the correct directory of course, I'm writing generically) if the list is empty the script exits, if not it uses mv to rename the file (and optionally move it if you also want to, you wouldn't need to since the renamed files won't match Screen*.png (the next time the script runs that is). I would look at using an xargs to pipe the ls to mv. (I'll admit this would take me a minute to cook up, but it's do-able.)

Once you have the script working correctly use cron on a one minute schedule (hint * * * * *). Since most of the time the script will exit after one command this will not use any measurable resources.

Previous answer:

One option would be to use fswatch to rename screenshot files as they are created. This option really has the most forward compatibility as well.

fswatch as the name implies allows you to WATCH for File System changes within a script, and then pipe the output to some other command. In this case probably xargs calling mv to change the name the way you want it to read.

I would reccomend this type of solution, as it is more update proof that modifying the way OSX names the file. (i.e. that is let OSX do it's thing, then just have a script that watches and renames immediately).