Index Match.. One step away.

This is how I would do it. Only one array formula in a helper column that gives the row no and then INDEX for all other columns. This will make it faster and easier to maintain.
I converted your data into an Excel List, it will expand automatically (including the formulas in it). By using the Excel list the ranges for the array formula is no larger than they have to be. This way it will run much, much faster.

Check the array formula if I managed to get your new criteria in there.

Another approach, without an array formula...

on DATA sheet, in a helper column (I used AE), copy this down as far as you need...
=IF(AND(A2=MASTER!$E$2,E2=MASTER!$G$2,X2>=MASTER!$H$2),1+AE1,AE1)

Then in MASTER D4, copied down and across, use this...
=iferror(INDEX(DATA!$A$1:$AD$20,MATCH(ROW($A1),DATA!$AE$1:$AE$20,0),MATCH(MASTER!D$3,DATA!$A$1:$AD$1,0)),"")

NOTE: Make sure that all of your headings match exactly, else the match wont work