I have read that, when changing oil, it is easiest to add the oil through the oil filter housing. However, when I try to pour oil into the filter housing, it does not flow into the engine quickly. The housing fills up immediately and then drains very very slowly into the engine.

I should also note that the bottom section of my oil filter holder is broken and missing (see photo). This happened before I acquired the car. I'd hate to think that the plastic pieces from the oil filter holder are inside the engine and clogging up the oil passages.

Any thoughts as to why the oil is not draining quickly into the engine?