I had the wrong movement in my records, so - it is not a Valjoux 7753. I don't know the chrono module, the base movement should be ETA. I will have the answer soon.
Regarding SE v. LE (Special Edition v. Limited Edition), it very simple:
SE is a limited edition made in that year alone. It is accompanied by a larger box and a scroll
LE are all Panerai watches - the number is limited for a certain year, but it can be made for a few consecutive years at different numbers each year.
The above is the norm, while there can be a few deviations, such as OOR (out of range) runs for SE's (like the 127 or the 163); A LE can instantly become close to a SE if it is made for one year only, such as the 162 or 40.
The PAM 308 is a SE for 2008 (K series).
Hope it helps,
Asi