The state of the book is:

Trader Time Price Quantity Display

Elin $9$:$4510\mathrm{.}20800$ Y

Sophia $9$:$4010\mathrm{.}09500$ Y

Will $9$:$3810\mathrm{.}09100$ Y

Adam $9$:$4310\mathrm{.}05300$ N

Sell Lucas $9$:$4210\mathrm{.}05200$ Y

Buy Ellen $9$:$4210\mathrm{.}03400$ N

Ada $9$:$4110\mathrm{.}02300$ Y

David $9$:$439\mathrm{.}99200$ Y

Renee $9$:$449\mathrm{.}99300$ N

Max $9$:$469\mathrm{.}801000$ Y

Suppose at $9$:$46,$ Julien submits an order, $"$ Sell $800,$ limit $10\mathrm{.}01."$ Then

A$.$

Julien sells $400$ to Ellen at $10\mathrm{.}03$; Julien sells $300$ to Ada at $10\mathrm{.}02$; Now, the best bid and offer in the market are: $9\mathrm{.}99$ bid for $200($David$),100$ offered at $10\mathrm{.}01($Julien$).$

B$.$

Julien sells $400$ to Ellen at $10\mathrm{.}03$; Julien sells $300$ to Ada at $10\mathrm{.}02$; Now, the best bid and offer in the market are: $9\mathrm{.}99$ bid for $200($David$),200$ offered at $10\mathrm{.}05($Lucas$).$

C$.$

Julien sells $300$ to Ada at $10\mathrm{.}02$; Now, the best bid and offer in the market are: $9\mathrm{.}99$ bid for $200($David$),200$ offered at $10\mathrm{.}05($Lucas$).$

D$.$

Julien sells $400$ to Ellen at $10\mathrm{.}01$; Julien sells $300$ to Ada at $10\mathrm{.}01$; Now, the best bid and offer in the market are: $9\mathrm{.}99$ bid for $200($David$),100$ offered at $10\mathrm{.}01($Julien$).$

$2)$Suppose at $9$:$46,$ Lily submits an order, $"$ Sell $800,$ limit $10\mathrm{.}01,$ Fill or Kill" Then

A$.$

Lily sells $400$ to Ellen at $10\mathrm{.}03$; Lily sells $300$ to Ada at $10\mathrm{.}02$; Now, the best bid and offer in the market are: $9\mathrm{.}99$ bid for $200($David$),100$ offered at $10\mathrm{.}01($Lily$).$

B$.$

Lily's order is cancelled. The best bid and offer in the market are: $10\mathrm{.}02$ bid for $300($Ada$),200$ offered at $10\mathrm{.}05($Lucas$).$

C$.$

Lily sells $300$ to Ada at $10\mathrm{.}02$; Now, the best bid and offer in the market are: $9\mathrm{.}99$ bid for $200($David$),200$ offered at $10\mathrm{.}05($Lucas$).$

D$.$

Lily sells $400$ to Ellen at $10\mathrm{.}01$; Lily sells $300$ to Ada at $10\mathrm{.}01$; Now, the best bid and offer in the market are: $9\mathrm{.}99$ bid for $200($David$),100$ offered at $10\mathrm{.}01($Lily$).$