And those problems have to be solved first, we couldn't just say "well, let's multiply the population, then figure out what to do about it later".
I'm also very skeptical that, given an indefinitely extended lifespan, people would suddenly do all of those nice-sounding things you list. More likely they'd just do the exact same things they do now, for longer.
It sort of reminds me of the philosophy around the early internet: imagine if people could get access to all information and communicate with anyone, anywhere. Imagine how smart we'll become, how civilized! That's what we thought would happen, but look at what we actually did: yell at each other and watch porn. My guess is that if we lived forever, we wouldn't suddenly become interesting, enlightened people if we weren't already.