I see two issues with your first goal. One is sorting through old papers and second, dealing with incoming ones. each needs to be dealt with separately. You might try limiting yourself to only an hour a day on the old stuff (this will deal with its guilt-laden, never-ending aspect) and make sure incoming stuff is completely addressed before the end of the day. If you don’t have time to deal with all the new stuff, ask yourself how you can either utilize random bits of time throughout the day or which activities you can re-prioritize so that dealing with new papers becomes a top priority?
If you are procrastinating your career research, schedule yourself a daily set amount of time to focus on that. Put it on your calendar.
Check all of these things off your calendar when they’re done.