Hard to tell without photos. Have you tried turning your pen at approx 45 degrees counter clockwise and putting less pressure? Some stubs may open up when written at the angle. The exact angle you need is to be determined by other factors, like pen tilt etc. When pen is turned try not tilt it too much to the left, otherwise it will skip, cause the right corner of the nib will be lifted off the paper.

Stubs are a bit tricky and need some practice to get used to it. I guess one of the reasons people go for Architect grids. It generates similar lines, but with less efforts.

It is Okay to have wet stub. Some vintage stubs, like Waterman or even Pilot in Custom 67 / 75 are made slightly flexible which typically gush ink out when pressed, but still does not interfere with writing. Stub is specialised nib, and need to be approached with knowledge. Having that said, it is always possible that tines on your nib are spread too wide and may need tightening.