Linux in it's self has always been friendly towards Older and Newer Devices! I personally have used older Machines for throw away, testing purposes and any flavor of Linux has always been fine.
Kali 4.* Kernel is based on Debian Jessie. here are 2 Links:
1)http://https://www.debian.org/releas...h02s01.html.en #The Official Debian Jessie Hardware Support Page which I don't see any issues with your Hardware
2)https://www.interfacett.com/blogs/in...in-kali-linux/ #Graphic interface for Synaptic pm for Kali.
Synaptic will make it easy for you to find the correct Kernel Headers that support your Devices or other Dependencies that may pop up.
Hope this was helpful.
