Valid use of apostrophe for abbreviated words

Question

My understanding of the correct use of the apostrophe would be:

• the posessive form, e.g. ApostropheLover's obsession with the apostrophe
• a contraction: don't, it's, there's
• an abbreviation, my id' badge is in my backpack

Is the third case correct? How should one punctuate an abbreviated word like "id" (identification) or "repo'" (repository)?

Answer 1

ID badge is a compound noun: ID + badge.

You can use the word "ID" on its own.

You could write:

"The ID's front side shows a name, a date of birth, and a nationality."

Answer 2

No, your example in the third case is incorrect (as already pointed out by Boondoggle).

Instead, consider gov't as an example of its usage for abbreviations.