South American Stamps Identification

Hello
I aquired these stamps lately and ran into some questions. Any help will be greatly appreciated.

First row, Honduras - is the unperf stamp real? Couldn't find it in several online catalogs.

The next two rows - are the parallel stripes an overprint? In "Big Blue" I think it was referred to as cancellations. Are these some unique cancellations?



The use of the word "telegraph" in Latin America:
I assume that the left stamp is solely for telegraph, the middle one is postal, and the right one is both. Am I wrong?



Thanks for any help.

link too telegraphe stamps:..
http://gb-precancels.org/Telegraphs...ld/Rica.html
http://www.paperheritage.co.uk/arti...1911-45.html
Bar cancels: vast quantity of bogus cancels...
http://estampillascr.com/blog/categ...cancel-bars/

The imperf green Honduras stamp is a proof -- no gum, is that correct?

For the last photo, you are correct.

The imperf stamp sadly never existed

Perf 12..Thank you for the "Remainders" link.

I was unaware of the P14 x 14 rarity.

Beautiful pages as always Rod!

Thank you all. It helped.
What is the story of these parallel lined cancellation?
As for the imperf stamp - it has gum on it's back. I thought forgers do it on existing form of stamps, not making up new ones.