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That thing about the drum or ribbon sounds plausible. I had the E7 at home too and for me it was actually paper that got stuck in the rollers - I'd also check the entire print path and see if there are any bits of paper or dirt stuck somewhere before you swap out more expensive parts.
With my old Brother, the problem is usually the drum or the ribbon that's gotten stuck. Try taking out the drum and checking if something's jammed in there - sometimes it also just helps to turn the printer completely off, wait 30 seconds, and turn it back on. If that doesn't work, check the manual to see what error E7 means for your specific model, because it can vary depending on the printer. Worst case you need a new drum, but that's relatively cheap.
The E7 error on Brother is usually really a paper jam or something with the ribbon, like I said. I don't have a printer in my taxi, but my buddy had the same problem - for him it helped to just take off all the covers and check thoroughly whether there's any paper scraps or dirt stuck somewhere. Also try shutting the printer completely off, waiting 30 seconds, and turning it back on - that sometimes resets the error.
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