As far as connecting the wires to the new coil, just confirm that the diodes are oriented the same if you are referencing the old assembly wiring (look at which side the band is on). The power goes to the banded side of the diode.

I like to get a good mechanical connection first then add solder. Insert wire thru the hole and bend around lug. More than one wire may not fit through at same time but you can still wrap the wires around the lug. When you add solder you want to minimize any movement while the solder cools to avoid a bad joint. Tinning the wire is ok but its recommended to add some new solder to the joint as well - the flux from the rosin core solder will help you get a good joint as it cleans off any oxidation at the connection. When you are done the joint should be shiny and smooth and feel secure when you tug on the wire.

Best part is if you don't like it just desolder and try again. Good luck!