What does it mean to "map the human genome"
So, the very first map of the human genome was of a few pooled samples with a single nucleotide called at each position.

This is basically okay, though, because humans are 99.9 (with possibly a few more 9s) % similar to one another. So you can get a lot of broadly-applicable information out of a single individual's DNA.

Further genome-mapping efforts brought data from new individuals and started to give us information about variants, like in your option 1b. At this point, there are projects like the 1000 Genomes Project that are trying to get 1000 full human genomes from a variety of ethnic groups sequenced and to characterize all the common variations.

Your point 2 was a different project, but was also part of mapping the genome. It's mostly complete now-- in that we know almost all of the RNA sequences that are produced by most cell types and mostly where they come from on the genome, with a few mysteries left around the edges. 

Point 3-- no. Lots about the genome we still don't know. We're pretty good about where genes are encoded, but how they're regulated, how they interact... and remember that the part of the genome that codes for genes is a very small percentage of the overall sequence. Something like the the ENCODE Project is trying to figure out the various biochemical interactions present at every position of DNA, but even if that data were complete and reliable, which it's not, it still wouldn't tell us the "purpose" of all DNA.

So, when we say we've "mapped" a genome, we generally mean (A) we have (something pretty close to) full sequence of at least one individual's DNA (or a consensus sequence from a pool) and (B) we know where genes are on it. That's a huge step but only the beginning of understanding genetics. In the case of humans, we're adding on to that understanding by learning where variants are and how common they are.