Sorry for this noob question.Is 6 Amps is the max current draw for the module at its Vmax=15V or is it the the current that the module must draw at 12V?

The former.

 

Update: Guys finally I managed to get my issue fixed. the current draw of 6A is infact for Vmax. At 12V the initial current draw of 3.8-4A is okay. I finally managed to get ice. Got a 30ml aluminium cylindrical vessel containing hot water at 60C in my mini cooler to ice in 15minutes!..The main issue was the cheap thermal paste I had used initially that I brought for just $0.95.So, purchased another brand ZP Heatsink Compound $3 thermal paste(Thermal conductivity:1.22W/m.k& Thermal Resistance:0.201C-in2/w),removed my old paste and applied this to both hot and cold side.Everything is working awesome.Never thought a bad thermal paste could cause this much bad performance."Gotta change the thermal paste on my i7 too or its gonna fry too!!"