Any feedback would be greatly appreciated.
Making sure I understand correctly. From what you have seen, it appears that the operating company may be producing and has permitted four wells on the acreage that you beleive has an expired lease.
I am not a landman, I am an engineer, but have seen this type of thing happen. If I were you, I would keep very quiet and lay low until the wells are drilled. I would not cash any royalty checks from the acreage you believe has an expired term. If indeed wells have been drilled or production established on unleased acreage, you would have significant influence on the company. You would have to hire a lawyer, but you might be able to argue to the courts that a fraction of each well drilled (corresponding to your mineral acreage) belongs to you (not just the royalty, but the working interest as well). You may become the proud owner of a share in four wells without spending a dime.
The operating company would be very anxious to smoothe over their error and might offer you a lease in arrears in order to prevent you from doing what is described above. If you don’t want to go to a lawyer, you might be able to negotiate exceptional terms on your lease and a very large bonus payment.
Wait until all the wells are drilled before digging deeper.