Relay problem (not firing)

I recently (four months ago) rebuilt transmission, then a week later had to put a new fuel pump, then a fuel pressure regulator. It ran fine (minus a little power) for seven hundred and fifty miles.
Now my ignition relay has gone out, or so I thought. I put a new relay, and it is still not firing. And now my battery went dead when it should not have. When I turn the key on, without trying to start it, I keep hearing a spark from around the alternator, and then the battery stopped working.
When it broke down two days ago. My nephew pulled the relay and turned it and put it back in and it started. I do not understand, because I put a new ignition relay and it still does not start.
Please help