It seems that only dogecoin does not seem to move when bitcoin rises and is now back down.

Doge is already moving in sideways and it under big sell pressure so that it is normal to see this kind of activity there is nothing surprised because it happened for short time we need little long time to call it now it is entered into bullish zone.

it is not effect by any market green or red , so ,i like dogecoin . dogecoin can maybe becone State coin which  cryptocurrencies want become it

What are the odds doge being listed on larger exchanges? So far, it's been traded solely on relatively unpopular and small exchanges.

Yes, the proof is that dogecoin still exists in various exchanges that existed from 2014 which until now has even increased and it is a real support for dogecoin as one of the legendary altcoins to date. Dogecoin will continue to experience progress whether from investors or cooperation that will come as time goes on.

Yes, now it is the right time to grab the Dogecoin in the market instead of selling them in the market. Once the price of Bitcoin starts increasing the price of Dogecoin will surely increase in the market, that's why most of the time i used to grab some dogecoin whenever i have some fresh money.

Hopefully once it reaches 80 satoshi those satoshis are still worth something.

Exactly, but the bitcoin has shown its strong signals that the winter of crypto has almost melted down.
Bullish market will come soon, and currently we have been in early phase of bullish market.

Dogecoin will alive again, what did you imply, my friend?
Dogecoin has been here, has survived over so many crashes and most terrible period of crypto.
More importantly, Dogecoin has never been dead. LOL.
You might be right that Dogecoin hardly hit 80 satoshis in short term.

When could we see new Dogecoin wallet? 

None can give ya an ETA. The dev team is likely to publish when it is ready. Please note that, they have day jobs to pay their bills.. Life is tough man!