DIY Home Renovation - the air conditioner

The small town we moved to has only one plumber who is multi talented.  After he re lit the gas water heater pilot light several times and worked for days on unclogging the aged pipes in the 1956 Fixer Upper that make weird noises he worked on the A.C. unit.  After two weeks of having electricians reconnect this old house to the modern world the A.C. still wouldn't turn on.  The plumber/A.C. man ordered a computer board on the fan that appeared to be burned out but it still wouldn't turn on the unit outside.

No, not this fan!  The one in the central air box.