Find Max and Min based on cell reference(s), display corresponding value

MY CURRENT FORMULAS/TABLE FORMAT:

=MAX(IF(A:A=K16,D:D))

(Displays the Price for the most expensive Item of the Type entered in K16.)

=INDEX(C:C,MATCH(MAX(D:D),D:D,0))

(Displays most expensive Item in table.)

(A:A is Type column)
(C:C is Item column)
(D:D is Price column)
(H:H is basically a True/False column)
(K16 is the Type I am telling it to look for)

FIRST QUESTION: How can I modify the formula to show that newly-found Price's corresponding Item (C:C)?

SECOND QUESTION: How can I modify the formula to show the Item (C:C) that matches multiple criteria (A:A column matches K16, H:H matches "x")?

THIRD QUESTION: How can I modify the formula to show the Price (D:D) that matches multiple criteria? (A:A column matches K16, H:H matches "x".)

NOTE ON ATTACHMENT: The GREEN cells are the ones I am trying to populate.

(P.S. I used this helpful thread to get to this point: http://www.excelforum.com/excel-misc...reference.html)