yes flaps can be used on a Y lead wire, you will not need a BEC, you can always use a 1s or 2s lipo directly connected to your receiver to power up all your servos.
if you wish you may use a BEC, smaller and lighter weight 2grams. but i have always used direct connection to receiver with a 1s or even 2s lipo, i use Spektrum Rx Tx.
hope this helps
rc gliders