My owner said he has to come to my work and home to evict me in person is that legal?

Laws vary by state, but in my state, there was no law against serving someone at work. But, the employer could decline to allow this, assuming they weren't a party to the case.

And in my state, it was required that a reasonable attempt be made to personally serve a defendant. In an eviction case, if the attempts at personal service failed, substitute service on someone else living at the same location could be attempted. If that could also not be done, notice could be posted on the door and mailed, and that would also count as a service.

He has to serve you with a notice of eviction. If you're avoiding that, he has the right to find you. He would not have the right to enter your place of work and disrupt that, but he or an agent of the court could certainly wait until you're off work and serve you a notice outside in a public space.

Unless you are a slave you do no have an owner.

If your work is open to the public your landlord can visit you there.

Usually a landlord won't interfere with you at work. It could be embarrassing and interfere with your job.

yes it is -- you must be served in person