Private property and gun rights

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Asking on behalf of someone else.

If a person owns a mobile home, located in a park where rent is only paid on the land, does the land owner have a right, under Indiana state law, to:
1. Require owner/occupant of mobile home to sign agreement that there will be no guns inside the home; and
2. Require owner/occupant to sign agreement that landowner may enter inside the home of owner/occupant.

I hope these two things are not supported by Indiana state law, but would like to know if anyone here can direct me to the statutes that address these questions.

Thanks!