Blower noise..?

Should be quiet. Sounds like your fan is making contact with the housing- it doesn't take much to tweak the squirrel cage out of round or off center, they're very light aluminum.
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No, he should rebuild the heater box, it's 50 + years old, who knows what may be in there, from mouse nests to a tootsie roll wrapper. Order a kit from DMT.
I did refurbish it... Got out a ton of leaves and other debris.. Guess I should have serviced the blower motor at that time, but figured it'd be good.