Which of the following describes a handle (as applicable to LR-parsing) appropriately?

Which one of the following is a top-down parser?

Consider the following grammar.

$$\eqalign{ & S \to S*E \cr & S \to E \cr & E \to F + E \cr & E \to F \cr & F \to id \cr} $$

Consider the following LR(0) items corresponding to the grammar above.

$$\eqalign{ & (i)\,S \to S*.E \cr & (ii)\,E \to F. + E \cr & (iii)\,E \to F + .E \cr} $$

Given the items above, which two of them will appear in the same set in the canonical sets-of-items for the grammar?

The grammar $$A \to AA\,|\,\left( A \right)\,|\,\varepsilon $$
is not suitable for predictive-parsing because the grammar is