Re: Battlefield 4 PC- Looks like you're offline
Try and enforce that you sign out of your Origin account and then sign back in again!
That has helped most PC users in the past when having this issue (and when the EA game servers are not down for updates, as that will give you same error situation)
Another area that can cause this is if you have committed some activity that violated the EA's terms of service.
A temporary ban for going online can then be in effect. E.g. if you have used a banned type of Avatar symbol etc.
Don't know for sure, but would expect that you would have received an email from EA to your account if this was the case...