The occultation during a solar eclipse last only a few short minutes, not the lengthy period it did during the episode. The Strigoi would have mere seconds to roam freely and then most wouldn't have then had the time to get back under cover before the Sun rays again reappeared,
The man Eichorst holds captive for sustenance has is chained with a collar that has an opening on the left side for feeding. However, when Eichorst finally feeds on him, the stuffed attaches itself in the right side of the man's neck.
The Moon eclipses the Sun from East to West.
Kelly tells Zach "Make sure you put these on before you look up" (the eclipse glasses), but as he sits he very clearly looks up and then puts on the glasses. She does it too but very quickly (I think realizing her mistake) when she steps up behind him.