Since him and Michael were technically co workers, does Michael tell gerry about Eric?

yep. It would go something like this:

Michael: [managing Gerry’s documents or something] your dad’s name?
Gerry: Eric
Michael: [types in ‘Eric Keay’]
Gerry: no, no. He wasn’t a Keay. His full name was Eric Delano
Michael: [stops and turns to Gerry] did he work for the institute?
Gerry: … yeah?
Michael: Gerry, I WORKED with him!
Gerry: :O

after learning that Michael and Eric were coworkers, it would lead to this conversation:

[also, Short haired Michael lakfjalksfj]