if your home is sinking I would advise contacting a local professional engineer that specializes in residential construction. They will know how to evaluate your existing conditions and be able to prepare a course of action to correct any issues found.
Evaluation of a structure requires seeing first hand what is there. No one on an internet forum can do this. We can give opinions or thoughts, but we cannot properly evaluate because we are not there.
We can listen to ideas and try various solution. You'll get the correct solution by employing someone knowledgeable and experience that will come to your home and do a professional evaluation.
Just my humble thoughts .....
"You get what you pay for, and sometimes free costs more!"
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