I had assumed it was just the one hive - ok - if there are more, then you could either repeat that process hive-by-hive, or go down (say) the Clemens Queenless Starter-Finisher route - there are links earlier in the thread.
Re: the plastic. No holes - it HAS to be a complete shut-off between the two boxes - AND - it only stays in place for 24 hrs (although I sometimes cheat and extend that to 36, just to make sure). If it's a hot day, then create ventilation anywhere else, but NOT through the plastic. Hive scent in the top box is exactly what you don't want !
BUT - the use of a plastic sheet was just a Q.D. (Quick'n'Dirty) freebie substitute for a Cloake Board. If you're going to re-queen several hives, then I'd recommend the making-up of a Cloake Board to use with the method I suggested, rather than using a plastic sheet (which can be a bit 'fiddly'). The Cloake Board, with it's purpose-made slide, is not only easier to use than a floppy piece of plastic sheet, but it also provides another entrance which solves your very reasonable concerns about ventilation.
Or - the Cloake Board can be used as Harry Cloake intended it to be used, to create Queen Cells from grafts, by reversing the entrances etc, to generate temporary congestion ... It's a very clever and flexible piece of kit.
If you plan on doing more Queen-Rearing, then I'd recommend at least trying the Clemens (mini-Laidlaw) System, and the making-up of a Cloake Board. There are dozens of other bits of kit a beekeeper can play with, but you can do a helluva lot with just those two.
Best of Luck
LJ