-For the Answer 5 "R1 installs a route to 2.2.2.2/32 as O IA":
That because the route 2.2.2.2/32 belong to another area (area1).
-for the Answer 6 "both routers R1 and R2 are neighbors, and R2 IS BDR":
Here clearly the question, say that R1 and R2 are not adjacent, but that not mean they are not neighbors, from the output of "show ip ospf neighbor" command we can see clearly that routers R1 and R2 are neighbors, and actually the R2 is BDR.
There different between adjacent and neighbor, neighbors" and "adjacent". Two terminologies that doesn't mean the same thing, but can often be misused in a discussion. Neighbors in this case means "show up as neighbors while using the show ip ospf neighbors command". While "adjacent" means they are fully exchanging topology information.
For further information check the links below:
https://learningnetwork.cisco.com/message/564573#564573
http://blog.ine.com/2008/01/08/understanding-ospf-network-types/