I am currently in the change of status mode, i.e. in between the expiration of my OPT and pending process of my H-1B petition.
As you correctly suggested, I could opt for the Prem. Processing by spending $1,000.
While my H-1 is in process, I want to transfer to a new employer (amendment of my petition!), so spending $1,000 for the Premium Processing would speed up this process too, am I right?