1996 Honda Civic would the alternator cause this?

Electrical problem
1996 Honda Civic 4 cyl Two Wheel Drive Automatic 100k+ miles

I have a 96 civic and the fuse for the alternator/speed sensor keeps blowing out when I start the car. It started off every once in a while, but now, it's happening every time I start it. When I brought it in for a NYS inspection, the speed sensor and both O2 sensors failed. I understand the speed sensor part due to the fuse being just blown out when they started it, but the O2 part was a surprise because I had just replaced both less than a month earlier. So my 2 questions are: 1. What would be causing that fuse to blow? And 2. Would that blown fuse(or the cause of it) be causing other sensors or the computer to be acting up?