French coin identification (~1637)

Hi, I need to identify a french coin (Double Tournois).

The information when I bought the coin was: Year 1637, Mint. Mar A, Double Tournois, Copper, ~2.2g. Louis XIII. KM# 86.1 

But i have doubts of that being the actual coin (there's no KM#86.1 for that coin I think), so I have come to this 3 possibilities:

N#52162 

N#52295

N#52643

The lettering I was able to read was:

XIII R [ ] RANE ET NAV (this should be LOYS.XIII.R.DE.FRAN.ET.NAV ar something very similar)

+ DOVBLE . TOVRNOIS 1 [  ] 7

For the type of bust, and the distance between the NAV and the bust I'm thinkin its the id 52295 bust (a) lettering (1) Obverse not circled, reverse circled, but I'm not entirely sure

Here are the pictures, thank you very much in advance and thank all of you for the amazing site that is Numista.

Regards,

As far as I know, several dies and varieties were used for each mint, so if the mintmark is not readable, you can't conclude.

Frenchlover

As far as I know, several dies and varieties were used for each mint, so if the mintmark is not readable, you can't conclude.

Thank you for the information. At least it should be from 1637, right?

Yes Louis XIII "old head"