And if you think owning a home is hard, just wait until every property in your city is owned by a group of immortal British lords who insist on women dressing modestly and "No Irish need apply" signs everywhere. This may not be too far away from what your actual town looks like right now, but at least we currently have the hope that those people will die and be replaced by slightly-saner ones.
First of all, such technology would be usurped by dictators for dictators only. Stalin, Mao, Hitler, Putin and endless stream of other pathetic figures, they all desperately clinged to life and would burn this world to the ashes 1000x over just to stay immortal. I can't imagine how we could avoid global semi-permanent slavery, not with actual real human nature that we see manifested in the news every day. Its fine if you wouldn't use it malevolently, that says nothing about more capable and more sinister individuals who are out there in numbers you probably would have hard time accepting.
Second, where do we put all those folks if we actually achieve some hippie paradise? How do we feed them? Concept of individual ownership goes very much against this. The opposite is communism, which has 100% failure rate, and we tested it already on few hundred millions, no thank you. You have to live through it to see and feel its failures in their many aspects to understand, I did and never ever want that back in any form.
Two, they would all die from a number of things over the course of a thousand year journey