It would be very helpful for the community to answer your question if you could let us know where you live. Please go to "User Control Panel", then "Profile", and add it there. I'll assume for now that you live in North America because you mentioned a 5 pin connector. (Europe uses the Mennekes 7 pin connector for AC charging.)
So you do not get confused, the AC level 2 EVSE you have at work uses the SAE J1772 standard connector:
It works for every EV currently sold in North America, to include the BMW i3 and the Nissan LEAF. You will have no problem using the level 2 EVSE at your workplace to charge your i3.
DC charging is a completely different issue, and yes, the LEAF CHAdeMO DC connector is not compatible with the SAE Combined Charging System (CCS) connector used in the BMW i3.
Unlike Europe, government support of DC fast charging on this side of the pond is virtually nonexistent, so rollout of DC charging infrastructure will be painfully slow. (Atlanta recently celebrated the installation of the second CCS charger East of the Mississippi - whoo hoo.) DC charging is fantastic both in theory, and in Europe.
(Also a few - and growing number of - locations in California, but that is only because of a court imposed remedy for NRG's price fixing schennanigans. There will eventually be 200 installations to comply with the settlement, but only in California.)