Using iPhone 5s it will show me your ios is latest version 10.2.1 but i am install the profile for beta versions in phone
Not able to download ios 10.3 beta 1
I had the same problem on an iPhone 6 though.
For me, I had an old device profile for my iPhone 6 listed under my AppleID. It showed my phone, but said it was on 10.0.2 which is not true. At any rate, I deleted the device and then signed out and back in to iCloud on my iPhone 6 to add it back in. I was able to get the update after that. Hope this helps!
How did you delete your old device profile?