No Fiber Experience, can someone help me identify what I need?

I have a client with two buildings connected via an existing and old fiber optic link.

I have almost no fiber experience, and I am hoping to replace the switching equipment controlling this link. I have been told it was 12 stands multimode, but only 2 (1 link) being used/required.

I have tons of pictures, so lets get started.

Each building has an industrial looking panel where I believe the fiber is terminated via ST connectors.

Pictures of the fiber termination cabinet:

1) https://i.imgur.com/ZWtRFkZ.png The cabinet, closed up.

2) https://i.imgur.com/mxDQw0H.jpg Opened.

3) https://i.imgur.com/iB9DpDB.png Close up.

So, I think I am looking at patch cables connected to these junction boxes via ST connectors right?
https://i.imgur.com/HaZPmL4.png

Currently, the orange patch cable is running up to an old Linksys 10/100 Switch, model EF3124
https://i.imgur.com/LGEeVw6.png
https://www.amazon.com/EF3124-EtherFast-24-Port-Ethernet-Switch/dp/B000075BB1

It seems to go to some kind of propreitary module called I think is this one, Cisco-Linksys EF31SC 100BaseFX SC Fiber Module. https://www.amazon.com/Cisco-Linksys-EF31SC-100BaseFX-Module-EF3116/dp/B0000899ZH

https://i.imgur.com/ILPg3fE.png

So with I hope those pictures help. Now on to my goal. I am hoping to replace thee Linksys switches with some basic Ubiquiti UniFi Switches with SFP Ports, with the proper SFP modules and Patch cables. Specifically Unifi Switch Pro's, https://store.ui.com/collections/unifi-network-routing-switching/products/usw-pro-24

I am thinking I will have to procure the right fiber patch cable to go from the fiber enclosure box, and the ST connectors, to the new UniFi SFP port and SFP module.

So I think since the cable is Multimode, and I want to get at least 1Gbps connectivity, I would get Unifi MM 1G, https://store.ui.com/collections/operator-accessories/products/sfp-modules ?

Then I would have to get a patch cable from say FS.com to go from ST to SC?https://www.fs.com/products/12202.html

I am way out of my leagure and hope I can get pointed in the right direction.

Thanks ahead of time!

Mike