I'm not sure I've got the sequence of numbers correctly but try: 
=IFERROR(LEFT(A2,LEN(A2)-1)-1,INDEX({1;11;12;13},MATCH(LEFT(A2),{"A";"J";"Q";"K"},0))-1)*4+MATCH(RIGHT(A2),{"c","d","h","s"},0)
or if you've got LET then: 
=LET(a,TRIM(A2),IFERROR(LEFT(a,LEN(a)-1)-1,INDEX({1;11;12;13},MATCH(LEFT(a),{"A";"J";"Q";"K"},0))-1)*4+MATCH(RIGHT(a),{"c","d","h","s"},0))
(it's only got one cell reference).
It takes care of the likes of Jh as well as 11h, As as well as 1s etc.