After looking at that video, I would strongly suggest checking the resistance across that coil. I'm assuming you've checked in the manual to make sure it is the correct coil (going by the coil wrapper part number), but you haven't mentioned that yet. Coil wrappers can be wrong. You need to put a meter on the coil (with the power off) and check it. Compare your reading to the factory coils specs. Google pinball coil resistance chart, if needed. Just because it's esthetically good doesn't mean it's the right coil.

According to the manual, it shouldn't be 4.2 (or 4.1). I'd suggest you download a manual and make sure you have the correct coil installed.

http://ipdb.org/

If you want to repair games, you need to know how to read a manual. Open it up and have a look. I could give you the page number, but what would you learn from that? I might as well come over and fix it for you.

Here's a hint: The coil is called the Goal Popper coil.

Don't need schematics yet. If you can find the solenoid/flasher table, you can find the part number of the coil. Once you find this, compare the part number on the coil to what the manual says. If correct, then compare the resistance you measured to what it should be reading. To find the correct factory resistance, google pinball coil resistance chart (like I mentioned above). Then look for the part number listed in the manual and note the specified resistance.

I'm not familiar with that assembly, but if there's only one bracket with play, it should be tight. How does your assembly look compared to the pics above? Is the rubber bumper missing at the bottom? That would likely cause what you are seeing.