The flute in your first picture is similar to the one in the video, but not the same. If you buy one in the key of D it will work with the video lessons.
The second is a re-labeled version of the Aulos recorder. It has a distinctly different tone and method of playing, but is a very good instrument of its type for a low price. It will not work with the video lessons, but requires other instructions.
The third is a Clark classic whistle and a very popular choice for a first whistle and can also be used for the lessons.
Your last picture is a fife, probably in D, also similar to the Aulos product, but a very different instrument to play requiring different skills.
All of them are good selections for beginning instruments, but the whistles (#1 and #3) will work with the instructional videos. The recorder and fife require different instructions.