A few gold fanams to ID

Hello,
Here’s a few fanam coins I recently acquired and was wondering exactly which type/state they belonged to. Can anyone help me on that?

Also, I think it’s all fine, but is there anything to worry about their authenticity?

#1:


diameter: 7.5mm
thickness: 1mm
weight: 0.38g

#2:


diameter: 5.5mm
thickness: 1mm
wright: 0.36g

#3:


diameter: 6.0mm
thickness: 1mm
weight: 0.38g

#3 is from Mysore.

https://en.numista.com/catalogue/pieces22189.html

first one looks like cochin fanam

Hmm. I supposed #1 might be from Cochin but I couldn’t find the exact same obverse design...

And I think #3 is Mysore, too! I can’t tell which Kanthirava type mine is, though. Likely the older one?