>bees have mites
Everyones bees have mites.
>i found four queen cells, two of which had no eggs, one had one egg and one had three eggs.
On the bottom or in the middle of the frame?
>i know multiple eggs is a sign of a laying worker
Multiple eggs are a sign of a queen that is new to laying or one that has no room OR a laying worker. But a laying worker lays on the sides of the cell and a queen lays in the bottom. I've seen a crowded queen in a two frame medium nuc laying multiple eggs and even laying eggs on pollen, which I think of as a laying worker trait. But then it was singles on the polle and the laying workers usually cover them. :)
>but i have lots of capped cells and lots of new eggs where bees have already emerged. i even found the queen for the first time, she looked fine,
Sounds like she's out of room to lay.
>i scrapped off the queen cells
Why? They will either rebuild them or they will swarm anyway and leave the hive queenless. If they are intent on swarming, I'd do a split and leave the cells. If you want an extra queen or two you can put them in small nucs and get some queens.
>and moved the full deep to the top, and checkered a couple of frames. i saw a bee with a mite and saw another one that was just about dead with a mite. i know there's more. this is an 8 week old package and i know im not getting any honey, should i threat them now for the mites or is there some other reason i should wait for fall.
Do a sugar roll.http://entomology.unl.edu/beekpg/tidings/btid2000/btdjan00.htm#Article2
Uncap some drones. If you have SBB look for mites on the tray. If you don't get a sticky board. Everyone has mites. What you need to do is quantify the mites. How many are there?
>please give me your thoughts on what i should do about the mites
If the mite load is a drop of 60 or more in 24 hours on a sticky board, I'd probably do something. Personally I'd use Oxalic acid vapor and treat them once a week for three weeks. But you could use sucrocide or powdered sugar once a week for three weeks.
>and about the queen cells and multiple eggs.
Give her some room and that will straighten out.