If the toilets and shower drains are both backing up, it seems that the sewer or septic system may be the problem.
Had the septic tank pumped 2 years ago. It's family not drinking enough and plugging up the toilet. As for showers, MIL thinks it's my hair falling out, but I think you may be right, she just won't do it again.
The best way to clean carpet is a thorough professional steam cleaning by a truck-mounted unit. However, even then, if the original staining culprits had soaked into the pad below, that substance can continue to wick its way upward to the surface after cleaning. That would require a follow-up cleaning.
The cleaner must remove all residue or else that will make the soiling appear again even quicker. Residue removal means the suction must be strong enough to remove most moisture, and all traces of soiling and detergent product. Carpet should feel damp to the touch but not wet after.
This is very old carpeting (18 years) and has been through flooding from the hurricanes that came through a while back. She has a professional cleaner come out yearly, but wants me to use either of my two shampooers in between. I use the spot cleaner (Little Green Machine) weekly and the Hoover Steam Vac every other month.
Sometimes just the burners can be replaced on electric stoves.
We have replaced the burners with no luck. Her stove top is 25 years old and she refuses to replace it.
Ice maker units can be replaced separately from the frig. But if it's not holding the temperature, that's a different, serious problem.
No one will replace the ice maker and it has to be something else, but all the repair guys can't figure it out. After a week of good running, the freezer frosts up big time and we get maybe 1 "dump" of ice cubes a day.
I hope things turn around for you, for the better.