Supercapacitor charge current
That's two different revisions of the same data sheet.  The later one (July 2018) has recommended charge current.  You should assume the later one is the most up to date.

It offers both a recommended charge current and a max charge current (as well as discharge currents) in Table 3.  For the modest cap you want to use, the max is on the order of tens of mA.

EDIT:

In response to the corrected links, the second datasheet doesn't provide a charge current recommendation, but does recommend the resistor in the charge path, which amounts to the same thing.  I'm not willing to read the whole datasheet for you, but the 5F cap has a 100\$\Omega\$ charging resistor recommendation, which would correspond to 120mA for a 12V source