No. Liver stores vitamin A (and D), so an injection of high dose vitS A and D will last you a long time. Useful if you are unlikely to have good sources in your diet.
No. I am not saying meat is the only source of fats. Just that it's a good source. And also a good source of vit A in the right form. And D, especially pork fat if the pigs have lived outside.
Doses of Vit A together with vit D resolve the issue of the calcium problem. I've a feeling that the problem you mentioned only applied to synthetic vit A, not that found in meat, fish, eggs, etc.
As you say, there won't be an issue of adverse bone health effects with beta-carotene.
And there won't be with food sources of retinol so long as there isn't a shortage of vit D at the same time. In places where rice grows, lack of vit D shouldn't be a problem.