I guess I need to ask for a private message so I can do whatever the next step is. I will soon purchase my last tech upgrade (breeding) and since I can't go past 65 people with the housing I have, there's not much point. No boulder moved yet. Can't figure out what to do with that. I don't mind "spoilers". Please advise. Thanks!

65 is usually the limit. The Boulder is only indirectly related to population size. Once you have all your tech, you need to breed a little (which might just take some time so that some of your people de from old age and make some room) and start solving puzzles again

So what doesn't make sense to me is why they are "worried about housing" and such if we can't breed more than 65 people. ???

Please see my answer here. It will answer your question about housing. As for the puzzle solutions, just send me a PM!