My new cards aren't shown (even with high daily limit) and don't show up under "all"

That’s because “All” has its own limits. What you see on the main “Decks” page has some rules applied to it. If you just want to see the totals add up, you can run searches search in the Browse window – for instance:

deck:All is:New -is:suspended
deck:All::AnKing is:New -is:suspended
deck:All::Class is:New -is:suspended