[This is a problem question about Bill of Exchange, Please help me in how to answer this question]

Peter is the director of P&L Company (the Company) and is also the sole signatory of the Company's account. The Company was negotiating a sale of goods contract to purchase kitchen-ware from DD Company, who is requesting Peter to act as the guarantor.

In entering into the sale of goods contract, Peter agreed to act as a demand guarantor for the Company (P&L) for the purchase of 500 sets of kitchen-ware. Further, Peter, acting in the capacity as the director of the Company (P&L) signed a cross cheque payable to DD Company as down payment for the 500 sets of kitchen-ware.

To complete the sale of goods contract, DD Company negotiated the cheque of the Company (P&L) to Kitchen Ltd, who was responsible for the making of the kitchen-ware. DD Company indorsed the cheque in favour of Kitchen Ltd. When Kitchen Ltd. paid in the cheque for payment, the cheque was rejected with the reason that the account did not have enough funds (but the Company (P&L) account did have the appropriate amount of funds). As a result, DD Company is enforcing the guarantee against Peter.

Advice ALL parties as to their rights and obligations (if any)