Out of the four answers you need, I can only give you two. Egg production-Rhode Island Reds, Orpingtons, and Wyandottes. Meat- Cornish x
Hope this helps.
I would totally suggest Buff Orpingtons if you are looking for a friendly bird. BOs are also very consistent layers. Rhode Island Reds are very good layers probably one of the top laying breeds, although they are not as friendly. You could also be safe with Silver Laced Wyandottes because...
I do not know which breed lays the biggest eggs, but i do know RIRs are very consistent brown egg layers. The best broody hen that i know of is the BOs.
Hope this helps!!!