It looks a bit better now: new blocks are generated even if very slowly (we are now at 2675681) and the blockchain seems to going on in some way

I think the staking is necessary for PoS to generate new blocks. So I restarted my wallet with staking enabled but it needs time to stake my coins.
Let us see what will happen. If I'm not wrong block time for BeeCoinV2 should be something like 30 or 60 seconds. Actually we are about 1 block per hour :-/