If you're alive in 30 years you might be in 1000 years too

And the reasonable way of controlling the population is killing about 150000 people per day, many of them in quite unpleasant ways?

Aside from the economics of all this I'd suggest that on the basis of what we know about most humans, we'd end up with an appallingly ossified society. The Maos, Stalins, Kim Il Sungs[ list the dictators ] etc., in their 21st century forms will be ruling the roost for ever and a day. The last figure I saw on 'freedom of expression' across the world was (2016) 14%.

For example: "Internet freedom around the world has declined for the fifth consecutive year, with more governments censoring information of public interest and placing greater demands on the private sector to take down offending content. "

https://www.freedomhouse.org/issues/freedom-expression

WHAT DO YOU THINK?

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This is talking about biological immortality - obviously an external event can still kill a person. In fact, a catastrophic species-ending event like a meteor would still be devastating.

And we still have to worry about runaway viruses (the Black Plague), political mind viruses (Nazism, Communism, Islamism), bacteria (Malaria etc.)

The biggest danger would be, as it already is, overpopulation. I think people would have to make a trade-off: have children or live forever. You won't be able to have both. At first, only the rich would be able to afford children and live forever, but given a long enough time period, social mobility will rotate enough people into being rich enough to afford it.

Now think about it realistically and philosophically. If computers are going to take over most of the tasks we do today - driving, cooking, research etc. as well as have a worldwide network of knowledge (eg Watson, Google) then what does any individual person become? Like an animal in a zoo, who exists mostly for pleasure and socializing but whose services to others aren't required. We can already see this as people get internet-connected cellphones... why ask your parents anything if you can google it? Both parties actually prefer that we google it.

Now imagine if it moves to even less latency, via heads up displays or into a computer-brain interface. What is each individual person really doing if the hive mind already has all the answers? Why do other people need this person? Just for pleasure and interaction.

And now think about your life when you were 1/3 the age you are now. Do you remember doing a lot of particular things? How does it feel to realize that most of the things that you did, it's almost as the same as if you didn't do them? Had sex that one random time with that person - how much would it matter to your current self if you did or didn't? Outside formational life events, most routine things you do today might matter to your future self almost as much as to some stranger!

So what is this continuity between your current self and future self? If you lived until 5 million years old, how much of your life could you really meaningfully remember, unless you are accessing an external memory? If you lived 5 trillion years but only remembered around 50 years total of your personal life, how is that much different than a person living 300 years and remembering 50? Only that you continue to live and your self preservation instinct always wins.

The older I get, the more I have questions about the meaning of my future self living 1000 years from now, with dim memories of my current self, versus someone else living 1000 years from now. Does anyone have similar questions and what answers have you come up with?

It might be more of a crime. Before, you removed the remaining 50 year potential. Now you removed the 500 year potential. One could say the damages increased x10.

If they can get you to 150 and stop your aging, it implies a mastery over the physiological context that means you can stop worrying about the age of the body as we might have previously. The aging would get repaired one way or another.