While my friend strongly feels that it should be "is" in the following sentence, I feel, grammar demands that it ought to be "are"
1. There is/are a cooler and a cooker in the room.
2. There is/are a letter for Jane and a message for Christy.
In the first sentence, there are two things --- a cooler and a cooker. My argument, therefore, is the verb should be "are"? If "is" is correct, then, what about in the following sentences?
3. There ____ a ruler, a pencil, an eraser, a sharpener and a nail clipper on the table.
4.Sgt John: "Cpl Mary, have we found anything that would be of interest to us?"
Cpl Mary: "Well, there _____ a letter to James, a message on the fridge for his son, Vincent, a pen knife on the floor and some marbles in the chair".
Please help clear my doubts.