I'd get a second opinion.

That what I thought to, been think about it for the last couple years, what if it breaks, what mess, when I ask he tap it with his hammer and said if fine, even then it did not good fine, I think it had to many connect pipe and did not what to do it, from what I read removes cast iron pipe it hard, have break the pipe and it goes up the roof

What are you not telling us? Are you willing to pay for new pipes or is this something you want your landlord to pay for? If you have the money, any plumber will be happy to take it and install new pipes.

When was the air in your car tires last changed?

it my mother house build 1952, mother has the money, i just can not get her to understand the problem

Maybe the plumber thought it's just a vertical drop so no big deal. It looks like the fittings are in decent shape, and that section of pipe looks like it is just one side of the pipe with the rust and scale. I have had pipes in wet, brick basements that had a similar look when a side was buried behind something or had water leaking on the outside of it from something else. The interior of the pipe remained intact, it was more visual on the exterior.

With yours I don't know without being there, but a plumber would know and base it on what you are willing to do. If you do see rust and scale a good assumption is the interior has the same or worse. Keep in mind you do not have to replace the entire stack - you can splice in PVC with Ferncos, and cutting cast is a piece of cake with a chain strap cutter.

Get a second opinion.

Where I live you'd need to splice in cast iron, plastic isn't allowed underneath cast iron, but that's not a big deal. We recently did that in my son's house. Couple hundred bucks to replace a 5 ft piece of cast iron using Fernco couplers. (It got inspected as part of a remodeling project and passed without comment)

I'd poke it with a screwdriver to see how rusted it is. Surface rust isn't a big deal.

If you ask around you'll easily find someone who wants to replace it up to the roof.

Here you can splice in PVC. You support the iron with metal straps and cut with a carbide blade on a sawsall. It's not a big deal.

I've temporarily patched some holes in cast iron with epoxy putty. It's not a permanent fix, but can get you by.