I purchased these about six months ago during a similar sale. I am very happy with the purchase and can recommend them. The best part is how well the Bluetooth technology works. They never fail to automatically link to my iPhone (6s) within 3-4 seconds of powering them on and they never drop the connection during use.
The material the goes around your neck is not excessively long, yet they are long enough to get around my larger than typical head. They remain hooked around my ears with every activity that I have tried. I don't think twice about using them in the rain.
I am very happy with the battery life and find that when I use them about an hour a day, I never have to charge them more then every week or two. The sound is very good, but since they are not meant to fully block your ears, they will not have the bass or quality of most earbuds that seal your ears.
I don't use the armband case, but it is a thick neoprene which looks like it would protect your phone well.