Thanks! You will need to connect the exhaust vent pipe to the protruding piece terminating to the exterior using metal foil tape.

Watch this clip to better understand some of the possible repairs. kzbin.info/www/bejne/nYK7pGekaqqIqKc

Without knowing where exactly your downspout is located and the slope of your yard. I am unable to accurately answer your question. However, generally you may want to extend your downspout at least 4 feet away from your property especially away from the foundation.