These are not medals that were presented to anyone. They are souvenir medallions which anyone could purchase. Just as many companies today are selling souvenirs to mark Elizabeth's 70th anniversary. The top one is likely silver though they were also issued in bronze, the bottom one bronze. If you se...

If they are individually wrapped they are most likely bonus coins found in potato chip bags.

It's not a serial number.
It's a sheet number.
There are four notes with exactly the same number.
And with lower printing runs radars and repeaters are far more common on these older notes.

Your note is a six digit radar and very rare.
For a seven digit serial, the odds of any radar are 1/1000
For an eleven digit serial, the odds of any radar are 1/100,000

What year denomination and variety is it?

the top tier TPG's do not use or recognize the term proof-like or the PL designation.

Not quite true, PCGS, NGC, ICCS and CCCS all use the PL designation, they just don't all include the same years.

The problem isn't the price guide as much as your assessment of your own coins, less than one in a thousand will grade pl67. There are years for some denominations for which no coins have been graded PL67.

There is no such thing as original paper over foil wrap, nor are there any reengraved necks or chins.
We're going to need pics of your coin to see exactly what you have.

It is definitely not a 1871 Canadian quarter.
Most likely a 1871 British shilling.

there are usually about 20 for sale on eBay at any given time.
They're not rare, but the are costly.

It's not an off center strike.
The coin is out of round.
It' simply a damaged coin.

And your first coin has been struck by very worn dies.

It's not a doubled die.
It's machine doubling.

I agree with coinguy, that's all it is, we've seen this before.

Barely EF with stains
$250 each IMO

not foreign planchet
purely coincidental
no beads
thick rim
could not have been struck like that
it's post mint damage