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Measure the Rayleigh Length. Measure from the front optic. Then find the point where the beam starts to expand.

Highly doubtful

Remember that the good Lord gave you two eyes just in case you do something stupid with a high powered laser an injure one.

I think I gave you a workable idea. You could do a dry run and I do mean a dry run on land. Attach a retroreflector to a pole and mount a laser to a tripod. Now walk away from the laser to the first distance. Shine the laser on the retroreflector. Repeat. Note the results. You will need a helper.

Possibly. I would approach it from a surveyors perspective by attaching retro-reflectors on each pole. There are $$$$ lasers that run continuously.

See this thread. https://laserpointerforums.com/threads/diy-holograms.107644/#post-1592054

A video from the YT Channel The Thought Emporium on making simple holograms plus full color holograms.

Think the question through. Should you do that an answer will come to you.

I decided to look up "parking laser". It is a parking aid.

It does not. Goggle "Sam's Laser FAQ". It has tons of info.

I'd be impressed if she could juggle all at the same time. It's impressive to see a woman juggle two balls but she juggled four.

It's doable https://www.laser-gadgets.com/ but in your case I would advise you not to until you know how to spell the acronym correctly

Had to chuckle when I saw the title.

You may be familiar, but I do not think you understand it and how to apply it to your situation. In other words you are not thinking like a scientist. You are inferring it's a demon when it could be many other things. See this vid.

Familiarise yourself with the principle of parsimony.

It's not a ghost... until you have eliminated all other explanations. For example: Did you look on the floor to any debris?

Maybe this camera or one similar.

What I had in mind was a result looking as such. If that is your goal then the only practical way I see is a time exposure using low ISO speed film an with ND filters

Light is light no matter the source. Any source if light can be dangerous. The thing that makes laser light dangerous is it starts from a very small area, small enough to be considered a point source dumping a lot of energy into a point on a retina when focused by the eye's lens.

Are you actually trying to photograph a single pulse?