No, Liz, PLEASE do not give him eggs! They are slow poison to an old bird and they won't fatten him up (they are nothing but protein, fat and bad cholesterol). You need simple carbs to fatten them.
Sheesh! No water pump is terrible! When I lived in Pa, we also had a well (house was on Jonas Mountain which means bedrock which, in turn, means no pipes underground so no city water and no natural gas) and the pump broke once plus, another time, we had no electricity -which also means no water because the pumps are electrical... I don't even want to remember the huge amount of work that meant! Hope you solve the problem soon!
My zons always like to chew so I give them boxes all year round but the hen only stays inside the boxes during breeding season - the rest of the year, they just chew it.