well I'm currently doing the same thing .
I am building a series 2 engine for my series 3 scoot and will be transferring everything from the series 2 crankcase into the series 3 case as the series 2 case is fubar !
as far as I've read in Sticky's manual and advice from some Lambretta specialists everything is transferable although there are a few differences
The S2 has the same size studs all round whereas the series 3 crankcase has two larger studs for the exhaust which is an improvement but you could always drill and tap the 2x stud threads of the series 2 case
The engine mounts will be different of course but you can use either the S2 narrow engine bolt and blocks or S3 wide bolt and silent block mounts .
Thats all I am aware of .
Sticky's manual page 62 has a crankcase ID chart which shows numbers beginning with 85 are LI125 Special which makes that crankcase a series 3 so the engine number should run 125LiS 854198 to 867376
The only engine numbers I can find beginning with 85 are the SX200 big block and the 125 Special . I can't find any reference to a 150 crankcase beginning 85
http://scooterlounge.com/lambretta/reference-library/index.shtml