Hi Irene,
Have you done configuration of the forms with the new email id in the SPRO in below location
SPRO->SAP EHS Managerment->Print forms and Interactive Forms
After configuration of the email id, did you generated the adobe form using the SPRO option below
SPRO->SAP EHS Managerment->Incident Management->Generate forms for offline recording
or the using the program "R_EHHSS_P_CR_OFFL_REC_FORMS".
Also is your Adobe serverice is up and running?
After all these settings if you are able to create incident successfully using the inbound program if you dont see an entry in SLG1, then you are not receiving the mail to SAP.
There is one more possoble option for not seeing the entry in SLG1 is if the Inbound email user id is not provided with enough authorizations, you can check it in SU53 log.
Cheers
Sagar