I hope this helps at all but this is what turns out when i was confused about failing to connect to minecraft.net
It turns out that the website was issuing faults and i couldn't get on because of the website,
Try to connect on the internet and search minecraft.net and if you can get on the site then I'm sorry but I am no help but if you can't then the website is having issues and you only need to wait for the website to come back online
I don't think I'm much of a help but just incase this was the reason to your issue.
If this happens to anyone else the following resolved my issue:
1 - Rebooted my Router (Not my cable modem)
I think I have the same problem,but i doubt its the router is the problem. My brother can go on his minecraft without any problem,but I can't even log into offline mode every time i try it just says,"Sorry,but we couldn't connect to our servers. Please make sure that you are online and that Minecraft is not blocked." I've tried restarting my computer, fixing my firewall (allowing it) and even deleting the entire minecraft and redownloading it,but I can't find anything the only answer I've gotten was "maybe it's just a bug/glitch"