Questions before LL install -- considering many distros.

[rokytnji]

Linux Lite will support it since it is based on Ubuntu. Just a newer kernel is all that is needed.
I run a touchscreen with a wacom pen on a older touchscreen Dell laptop than yours.

I run a minimalistic distro on this IBM T430 . But with a modern kernel.

Code:

$ uname -a
Linux biker 4.8.10-antix.1-686-smp-pae #2 SMP Fri Nov 25 22:09:32 EET 2016 i686 GNU/Linux

My advice. If not as skilled as me dialing in a operating system to your laptop like I do. Test drive them all till you find your sweet spot.