Help the dealer rebuild the deck
Windows Batch (CMD), 205 204 bytes

@set/pc=
@set d=
@for %%s in (H D S C)do @for %%r in (2 3 4 5 6 7 8 9 10 J Q K A)do @call set d=%%d%% %%r%%s
@for %%c in (%c%)do @call set d=%%d: %%c=%%
@if "%d%"=="" set d= No missing cards
@echo%d%


Loops over the suits and ranks building a complete deck, then deletes the input cards. Save 1 byte if T is allowed instead of 10. Save 11 bytes if command-line arguments are acceptable input. Edit: Saved 1 byte thanks to @user202729.