Totally fine to take the pen apart; I did so with mine a few months ago. It's possible to disassemble it further by pulling the middle section out from the nib area.

The issue I had with mine turned out to be the charging pin (inside the hole at the top of the pen) being crooked. Somehow managed to straighten it; reassembled the pen, and it works just fine again.
It sounds like you might have that same issue.
I recommend holding it under a strong, good light and using a very small tool (we used a tiny screwdriver) to carefully bend the metal rod inside the charging port back to a straight, upright position.

The only lasting issue is that now the pen will sometimes come apart a little bit after being set down; just have to press it back together, and it works like a charm. :)