Notebook Video, Display and Touch

Hi all, I have bought this laptop from about 3 weeks and I'm falled in love with it. My version is the HP Spectre x360 with intel i5-8250u, 8GB Ram, 256 GB SSD (model 13-ae000).
I bought this laptop because it comes with the pen, it has a good build quality and a good performance.
The main reason that I need the pen is because I use it to get notes at university but I think that there is some issue (probably need some software improvement) with the digitizer. The pen is the new HP Tilt Pen (Rechargable) and the problems that I found are these:

1) Sometimes, appear random lines that starts 2-3 millimeters distant from where I started writing
2) There is a quite delay between my movements and the lines on the screen (not very important for me)
3) The pen need a quite pressure to initiate to write on the screen

I compare the writing with the my surface pro 4 always using the HP Tilt Pen and the problems seem to doesn't exits.
I think that HP should improve the digitizer driver to solve that problems, the first one is very annoying (Or Elan have to do that?).

Anybody has the same problems?