My Rx7 fc wont start. Any help?
 

So i recently got an 1991 rx7 fc convertible with 80k miles for $500 and it wont start.
The fuel pump doesn't seem to turn on when i turn the key. It does turn on though when I crank the engine, but the engine wont start due to lack of fuel I believe.

The fuel pump seems to only turn on when I give it direct current. Could it be a relay? A resistor?
The fuel pump and spark plugs are new btw.

Any suggestions on what the problem could be?

The fuel pump runs w/key to start and not to on.