I want to add a battery pack on my bike.(By converting Alternator AC to DC using full wave bridge rectifire).
Its Maximum voltage is 15V and max current is 1.87A.(If I accelerate)
The minimum voltage is 6.5V-7V and the min current is 1.1A - 1.2A.(On idle condition)

Now I want to charge a 12V 3S 18650 Battery Pack including a 3S BMS Module(Picture Included).

Now My question is "Is this module okay to protect my battries from that kind of Power source? If not then What should I do to charge and protect my battries?
Help me guys ..

 

OK, and now I am guessing that it must be a MOTORBIKE, not a bicycle. I am also guessing that the motorbike does not have a battery, and that the alternator only powers some lights. If the alternator output is not at all connected to the engine frame then adding a battery system will not be very complex.
BUT we will need to know the specifications for the battery management module and the battery first.