Go Round Below Minima
Regarding the go-round below minima, the EO SID designers expect you to fly the EOSID if you suffer a go-round below minima.
Above minima then the SID is the route you fly. (subject to the standard or additional restrictions on the plate)
EO acceleration altitude is subject to same rules normally used for each case. i.e SID or EO on takeoff.
All engine go-round is a different matter, as long as you make the noise abatement rules , the company SOPs, FCOM limits and climb gradients - you do what ever you want!