menzies are going to commence handling for flybe on APRIL
Actually they start in March - late March, but March none the less.
Does it really matter that much which company the agent is working on behalf of? Chances are you won't actually be employed by the handling agent anyway.
As for sending a CV to the company as well as the recuitment agency, I wouldn't worry too much. If they respond they will just tell you to contact the agency anyway.
As 750XL has stated you are not likely to get much at 17.