You should learn how to use the search box coz I answered these exact questions several times now...
Feral cat -> near woods ( means near the forest ) behind thick weed ( is there any questions to it ? ) not human food... ( Demolition Man with it's Ratburger would disagree
)
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Rat in Cathedral east 2nd floor past the goon ( needs cheese from Ray farm and a basic container )
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The second " mystery " is the treasure vault beneath the Wilkes mansions entrance... you can enter it from the cave system behind Ray farm ( rusty chains locked chest -> hacksaw )
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Welp since you are chasing the feral cat ^ this goodie is not available for you anymore... maybe later you will be able to return here from an alternate route from the mansion