The wiring looks right on the contactor and run capacitor. You said the old contactor was welded shut and bad(the question is why did it go bad). This is just a guess but if the windings in the fan motor short out and not go to ground it will give you feed back and make the compressor and fan motor run. Take the black wire from the fan motor on the defrost board off (I think its OF2 black wire). Tape it off and make sure it will not go to ground. Turn the breaker back on, if its not running turn it on at the T-stat only the compressor should run at this time, if that works you have a fan motor that is getting ready to go to equipment ground. A true test on the fan motor will be to ohm out the black and yellow wires on the motor( with the wires disconected from the contactor and run capacitor).