Possible Quing Dinasty Shunzhi Chinese coins.

Dear sirs,
I am no expert in this field but eager to learn.
I was given these two coins as a present from Chinese friends that, not being English speakers, couldn't tell me much about them (they told me they had found them during an excavation in an ancient rural village).
Now, I did some research and one of them looks like a circa 1640 Shunzhi brass coin, but I think it's counterfeit. It is very thin and light and the surfaces of the writing are broad and smooth (as if worn out by usage).
The other one is completely flat and more than twice the thickness of the first.
Could anyone help me identify them and find out if they're fake?
Thank you in advance

Welcome to Numista!

Your first coin appears to match Emperor Shih Tsu, AD 1644-1661, reign title Shun Chih, fourth series, mint Boo Ciowan (Board of Revenue Mint)

http://www.calgarycoin.com/reference/china/china8.htm#shun%20chih

Thank you Seeker55 ! So far it seems like a lovely and helpful community!
The characters seem to match indeed!
However, the shape is not quite right, mine seem broader and less proud/jutting.
Do you think this rules it out as counterfeit?

This is a relatively common and inexpensive coin, and I don't see a reason to suspect a counterfeit. You could post the diameter and weight, and see if they agree with genuine specimens, and what others have to say about it.

Hello
As seeker55 says you could post the diameter and weight it's really important
the numista link
https://en.numista.com/catalogue/pieces7319.html

Thank you for the advice!
Coin 1 seems to match. Inexpensive but still, carries some history!
Coin 2 remains a mystery. Does anybody have any clue? Has it perhaps simply not been stamped?

COIN 1

Weight: 4g
Diameter: 27mm

COIN 2

Weight: 7g
Diameter: 26mm
Tickness: 1.5mm