Random Horizontal Apple Pencil Streaks and Breaks

Device: iPad Pro 9.7, with the Apple Pencil

The issue:

While resting my palm on the screen and writing with the pencil,

1) Breaks appear where the lines are supposed to be continuous. Notice the letter 'm' in the word 'missile' on the top left corner of the attached image.

2) Additionally, random horizontal lines appear when I try drawing vertical lines. Quite clearly visible in the attached image where horizontal lines appear when I've tried drawing vertical lines.

This happened for the first time yesterday, and once today; the problem lasted for about 5-10 minutes each time. And when this problem appears, not resting my palm on the screen makes the pencil work just fine.

Some other issues/observations:

1) When I use the split screen function, the touch response is poor. Trying to select a web link/highlighting words on one half of the split screen causes selection/highlight of words on the other half of the split screen.

This too has been happening since yesterday. But this problem seems to persist for long unlike in the other issue.

I haven't dropped my iPad or my Pencil. (OK, I did drop my iPad three weeks ago, from a height of 1 feet. It was protected by the Apple smart case for its back, and a tempered screen glass protector on the front.. it fell flat screen face down, but as I mentioned, the case prevented any damage - the back case has a protruding edge ensuring that even without a screen protector, the screen is protected if the iPad falls screen face down, flat.)

I removed the tempered screen glass protector today when the issue recurred, will have to wait in order to see if the issue recurs. I don't think the screen protector has been causing the problem, because the iPad/pencil have been working just fine ever since I bought the iPad and had the screen protector installed, that would be close to 3 months ago.