I quenshed my sample them immedatily heat it up in DSC ( first hrat cycle 10 C/min ) until 270 then hold it for 5 min then cooled it dowen to RT by 10 C/min , then second heat run (10/min) in same go. (( heat-cool-heat mode)
Double (or multiple) melting peaks may be due to melingt-recrystallization-remelting phenomenon in which thickening of lamellae occurs or due to the occurrence of at least two distinct crystal populations. Scanning at different heating rates is a powerful tool for distinguishing between those two explanations. if at fast heating rates the double peak transforms into a single peak then it can not originate from a melting-recrystallization-remelting process on heating.
I'm not familiar with PET, but if it can crystalize in two or more polymorphisms , then you may get double melting peak too if the cooling condition allows forming different crystalline forms.