Present Perfect questions

It's raining. Two people are looking out the window. One of them says....:

#1: It has been raining a lot this week
#2: It has rained a lot this week

According to most of my sources #2 should be correct (and #1 is wrong), but i also found somewhere that #1 is correct as well....is this true?


another question....

what's the difference between...

[CNN reports...]
We've been listening to greek radio <- this is what CNN said....
VS
We've listened to greek radio <- what if they said this?

[CNN reports....]
we have been reporting that John was involved in the accident, this was not true <- what cnn said....
VS
We have reported that John was involved in the accident, this was not true


I believe PPC means "lately" or "recently"

Thanks in advance