feed honey

I have 2 colonies that were new splits this year. It is late August in Maine and I would like to feed them as they are very light on honey stores. I am in the process of switching over to natural bee keeping methods and understand the bees can become stronger/more resistant if you feed them...

I melt my combs and cappings in a double boiler. The wax and honey separate when cooled. Can I use this "cooked" honey to feed my bees or is this unsafe for the bees?

I had one of two hives survive the winter. The dead hive has 60+ lbs. of honey still capped in the top. Could I use that to feed the living hive and/or the new bees I buy? Maybe I'd be better off eating the honey and giving he bees syrup? This month marks my 12th as a bee keeper so I'm still...