How many coins do you have? And the time is just going to be off right now. 1 weight will take a while, but depending on how many coins you have, you'll build weight quickly.
A bit over 3 seed, but not all has matured.
What happens if my Internet connection gets disrupted while I'm staking?
I don't have anything saying x number of confirms. Just that my weight is 1, network weight 21, 21 minutes to reward. That number keeps going up. I'm guessing I'm in some sort of queue. How does going offline impact that status?
Going offline wont let you stake, but it wont stop you from accumulating weight. So there's no need to worry about that. I just staked with 7 weight. A lot of staked blocks are entering the network now.
This was me testing the network with a very tiny amount (0.0003). Granted, I'd had them since the ICO, but they staked and confirmed without issue. POW and POS blocks are going fine now.
http://www.argakiig.us/blockchain/seed/index.php?block_hash=ae0bc9c63021b08c4942732fb343e05bb3b91b216d5b24fa99db3c9a3d9eba73