Okay, start by removing the wire that you installed from the battery to the starter fuse. Unless you mucked with the original battery positive cable, there was already a wire from the battery to that fuse. If the battery positive cable harness has been mucked with, all bets are off.
With a meter, or a test light, check that there is battery voltage at the large wire at the starter motor. Use the engine block for a ground. There should be power there at all times. Then with the key in 'start' position check for battery voltage at the solenoid connector on the starter.
Assuming that you have an auto transmission, the original start circuit included the Park/Neutral Position switch. Don't have any idea of how that would be wired into the harness now installed. Unless you know the year/make/model of the donor vehicle for the engine and ECM, it will be difficult to figure out the circuits involved.
There are a lot of guys that have swapped engines. Maybe one of them will come by to offer some better advice.