The persistent ghost - activate "testingcheatsenabled true" (without the quotation marks) in your cheat console and right click the ghost and delete him. He will come back later as a ghost, but should have at least a few haunting cycles where he isn't persistent.
The singed sim - you have to live with it till you have medical cleared or he ages up. I'm sorry, I know how annoying it is. It happens in the science career too - getting singed.
Sorry it is taking me longer to read through this page - I've been taking a break from sims lately, but slowly the urge is coming back to play :P
You are not allowed to just up and quit your job for no good reason. You have to either be fired outright, be late for work, have a pregnancy that puts you into maternity leave or age up into an elder with less than 10 skill points in body --
The cheapest dartboard is allowed from the get go - the one that is not electronic (though they both have the beedoopbedoop sound when a sim wins, go figure).