Only some drawings can reach today's number — a 4-bit adder cannot produce a 16-bit result, whatever you do. The circuit checks the answer, not us.
A separate record. It needs 24 output bits, so a 4-bit card cannot reach it at any price — only the 2,118-gate multiplier can.
A solve is recorded only if the circuit actually outputs the target for the inputs you submit. One wallet can record one daily solve and one stretch solve per day. Stretch solves are tracked separately — they are what a bigger card is for.