A gas phase reaction between nitrogen dioxide and fluorine is proposed to occur

A gas phase reaction between nitrogen dioxide and fluorine is proposed to occur by the following mechanism:
step 1  slow:  NO2 + F2 —> NO2F + F
step 2  fast:   F + NO2 —> NO2F
(1) What is the equation for the overall reaction? Use the smallest integer coefficients possible. If a box is not needed, leave it blank.
2NO2 +  F2     2NO2F +  (2) Which species acts as a catalyst? Enter formula. If none, leave box blank: 
(3) Which species acts as a reaction intermediate? Enter formula. If none, leave box blank: 
(4) Complete the rate law for the overall reaction that is consistent with this mechanism. 
(Use the form k[A]m[B]n… , where ‘1’ is understood (so don’t write it) for m, n etc.)
Rate =