I worked as an apartment maintenance man for a couple of years. I found that happening frequently. My solution that worked very well, was to take apiece of wood, 2x4, I used, and hold it to the frame part that sticks. Take a hammer and strike the 2x4 hard. Just keep checking and hitting until the door clears. This will spread the opening so the door will swing freely. It may also spread the trim a little. I usually used a little caulk to hide the resulting gap.

I worked in a machine shop for more than 30 years, and we bought and used WD40 for drilling and milling cutting oil. It lubricates and dries fast so there is less mess. It smokes a lot though. For tapping holes we used Tap Magic.