3 pin connector in first photo: Molex brand - 03-09-2032
Mating connector = Molex 03-09-1032
Contacts = 02-09-2118 (pins) and 02-09-1119 (sockets).
Let us know if wire is smaller than 22AWG
Small 2 pin plug appears to be a 2mm connector.
Probably JST PH series -- part number B2B-PH-K-S
Mating connector PHR-2 with contact SPH-002T-P0.5L
Newark.com sells these but huge minimums for the contacts.
Edit - newark will sell these in singles... I had a typo in the JST contact part number above.