If you don't no what a coil looks like you better get out of the engin compartment!!
I am not trying to be rude but you have no bissness in there with out a manual and some motor knowledge!!
All that stuff will come alive once you figure out which wires are messed up.
Lights are not hooked to the ignition switch, They should be hooked to a rocker on the dash some where. 
Same goes for the trim and tilt
The big black wire, is this the wire to the battery?? If so it hooks to the motor as a ground. Nothing will hapen to the motor with out it being hooked up.
To see if the starter will even move the motor, hook the ground from the battery to the motor, and the power from the batery to the starter, thenn using a screw driver jump the starter by touching the two bolts on the starter toghter and it should turn??
Again do this only if you no what I am talking about!!!
You could take the starter out and bench test it by putting power to it and touching the ground to it. But clamp the thing down first!!!
Of coarse getting the starter out is a all day job!! The screws are under the motor on the left side and I used a mirror down in the bildge just so I could see them!!
I wish you lots of luck!! It seems like you have a big job ahead of you!!
I have been there Done that Serveal times!! and it is no fun!!
I said it before aand I will say it again!! Go BRACKET Young man and end all your troubles!!