Personally, I haven’t had any of these problems with my Verizon Motorola Droid. But it does constantly annoy me with “droid” reminders when I am off work that I’m getting work emails. ;)
I really loved the Droid when I got it, but it has become an irritant like no other cell phone I have had...mostly because I expect more out of it.
I am surprised you have not had at least the loose battery cover because it is a complete design flaw.