Do Gametes contain mitochondria/chloroplasts from their parent cell?
Is this DNA found in the mitochondria and chloroplasts coded for in the host's (animal's or plant's) DNA.


No, the DNA contained in these organelles it not a subset of the nuclear genome. However, part of the original genome of the prokaryote has been moved to nuclear DNA. That is why, as you cited, they "can no longer live independently."


  If not are there fully formed mitochondria and/or chloroplasts in all gametes (obviously chloroplasts only in the plant gametes) which were transferred directly from the parent who had them transferred directly from their parent and so on?


As the child organism would eventually need these organelles, and they can only be inherited, at least one of the gamete must contain them.

For the chloroplast, the general rule is that only one of the gamete provides it. For example, in gymnosperm it is the male gamete (pollen), in angiosperm, it is the female gamete (ovule). Either it is just not present in the other gamete, or a specific exclusion mechanism makes it mono-parentally inherited.

Mostly the same for the mitochondria, with the caveat that (motile) spermatozoa contain mitochondria for their metabolic functions (energy to move), but these are discarded when forming the zygote, and only the maternal mitochondria are inherited. (In plants, mostly maternal too with exceptions)

This does mean that there is a lineage of organelle on one of the parent's side, up to the most recent common ancestor (approximately, the first individual of the species). In humans, this translates to a presumed Mitochondrial Eve from which all human mitochondrial DNA descends from.


  If so are all the mitochondria and chloroplasts of one type identical in a organism? Are they almost identicle in families (of organisms not the classifictaion Family)?


Every mitochondrion of an individual organism comes from the stock of mitochondria of the zygote, through replication. They are thus very similar, except for cell specialization (giving particular morphology to the organelles), and possible mutations. Same for the chloroplast.

Mitochondria (and chloroplasts) are basic components of the eukaryotic cell, providing essential functions  which are highly conserved in a species, let alone related individuals. 

However, this does not means the DNA of these organelle is the same for every individual : different sequences may give the same protein, or mutation may affect non-coding segment of the genome. This is the basis for genetic genealogy, retracing family lineage though analysis of DNA, including mitochondrial DNA.