TOP1 measure with double filter

Please try this expression.  Note that your original measure was not correct as it did not have CALCULATE() around the COUNT.  This expression makes a virtual table with the states, their counts, and a small # (<1) to differentiate based on most recently reported.  The sum of these is used to get a single Top 1.  Note you could have concatenated your Top1 so that if a tie occurs both would show.

Top1 New =
VAR summary =
    ADDCOLUMNS (
        ADDCOLUMNS (
            DISTINCT ( Sheet1[State] ),
            "cCount",
                CALCULATE (
                    COUNT ( Sheet1[Alerts] )
                ),
            "cDays",
                1
                    / (
                        2
                            * CALCULATE (
                                DATEDIFF (
                                    MAX ( Sheet1[Date ] ),
                                    TODAY (),
                                    DAY
                                )
                            )
                    )
        ),
        "cTotal",
            [cDays] + [cCount]
    )
VAR maxtotal =
    MAXX (
        summary,
        [cTotal]
    )
RETURN
    MINX (
        FILTER (
            summary,
            [cTotal] = maxtotal
        ),
        Sheet1[State]
    )

Regards,

Pat