We already know from the Kelvin movies that there can be pregnant Gorn, so your theory has some validity to it. That being said, if it really is TOS Gorn showing up and they're here to help, why are the TOS Gorn still hostile to the Fed in Kirk's time?She did get quite a bit of quick character development. In nuTrek that generally does mean they are going to bite it.
I'm still holding onto my prediction... the twist of the whole situation is that the Gorn ship that shows up and abducts the crew is actually there to help. They just operate in an alien way. Their claiming the planet is really intended to be more of a quarantine. They don't HAVE to reproduce like that, they have other methods, but there are those among the Gorn who prefer to do it the old fashioned way and immature Gorn are generally out of the control and act on instinct. The Gorn abducted the crew to save them and perform a procedure to remove the nascent Gorn without killing them.
The Gorn ship that arrives are "good guys". They're trying to clean up the mess.
It adds an interesting layer... the Gorn that was stalking Chapel in the wreckage of the other ship wasn't trying to kill her... he was trying to rescue her...
As for Pike and Batel--
Pike: So now you know everything.
Batel: Ok, I've got to go.
Pike: You're dumping me now?
Batel: No you moron, I'm going to start researching for a cure for severe delta radiation exposure. I'm taking Dr. M'Benga with me. When he's back on the Enterprise you'll know that a cure has been found. Don't do anything stupid like running off to a quarantined planet in the meantime.