First of all, welcome!
More or less I just wanted to congratulate you on a really well done post, especially as a first post! 
I hope someone can help you.
According to the Arch Wiki, the touchpad for your model should be working, so there must be something to do.
There is also an interesting Arch Forum discussion e.g. #5
Here, just an interesting discussion in our forum if you come to find that you need elan_i2c_dkms.git (not to be tried now, of course, only if needed)
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