Details which I notice are:

• As the date is 1945, this document would likely have been written on typewriter. That being the case it's notable that several letters (the "N" being an obvious one) show varying wear possibly due to ink/stroke pressure. This is tedious and difficult to do well in Photoshop.
• The Pilots signature is nearly completely uniform, which could be photoshopped.
• The Check Pilot signature shows ink degredation, or a malfunctioning pen?
• Signatures appear to use Palmer method cursive writing which would be appropriate for the era.
• The paper is strangely uniform in colour.
• The paper shows no foxing or signs of wear around the edges.
• There seem to be no indicators that this was pulled from a modern printer.
• I'm unfortunately unfamiliar with inks of the time - but it's odd that the paper as a whole is clear, but the signature full names are partial. These could be a stamp, which would make sense, but then why are there stamps of the date/pilot's name/rank?

I expect someone here can search for this person by name, but I've contributed what I know.

(Source: I fake old documents on a regular basis.)

can you describe the paper itself/quality of it? I can't tell from the picture, but the color looks off/aged.

Edit: I'm just trying to vouch for the age through the type of paper used, I am not an expert on this document, but I know a lot about paper.

I doubt it is a prank. The most likely explanation is that a WWII vet has died and his domicile was cleared out. Some families would keep such historical documents, but many won't. If the house was cleared by a third party (landlord, bank agents, etc), then they certainly would have trashed anything they couldn't auction off. The dimples in the paper look like it was run over on the road, so it probably flew out of garbage truck or roll-away bin driving down your street. I would check your local phone book and obituaries for the pilot's name.

/u/justAnotherGhost already commented on the authenticity. The only thing I noticed that seemed odd was the lack of folds in the paper. The accidental creases at 11 o'clock show. But I would also expect creases showing the paper had been folded in half, thirds, or quarters; unless the page had been in a folio with other documents. You cropped the image, so I cannot see if it had been stapled at the top.

A quick search on william h lockwood air force, gave me this

http://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi?op=GET&db=lockwd&id=I499

Here it lists him as a Major, but he could have been promoted.

It would seem that there at least was a person by that name in the air force during WWII