We recently bought a house

Question

We recently bought a house with a Kenmore 363.16222100 (?) dishwasher. No manual. Monday night it didn't drain properly and leaked some water on the kitchen floor. The cycle had finished when we saw the water on the floor. We bailed out the excess water. I took off the drain cover and insert. I couldn't see an obvious clog problem, but cleaned it out. Then I tried a short cycle, interrupting it to shorten it. No problem. Water seemed to drain fine. I did find a part that looked like a straw and another part that looked like a sewing machine bobbin. From the dishwasher? Need to be replaced? Is it safe to try a full cycle now?