It depends on the wording in the lease.
The lease is a common Producers 88 paid-up lease.
Most oil companies use redraftable drafts and it seems like if it depends on the wording in the lease then companies wouldn't need to pay on all minerals you owned when they lease, once they get the signed lease back they could redraft and pay whatever they want, they could just pay you $1 but have a lease covering everything you have, there has to be more to it than that or everyone could get suckered.
I think recording the acres after the first lease means that those acres are yet unleased. Somewhere you must have something with the net mineral acres they were to lease. They just didnt know how much you owned and didn't lease all of it. Had you bought them after the first lease they wouldn't be leased, right ?