Mulching with grass, yes put it on 4 inches deep and it will sink down in a few days and keep the moisture below the mulch.
And raspberries will be fine with that mulch, they will love it.
I'm back from holiday and all my tomatoes and chillis survived; I'd put them in a tray outdoors, in a sheltered position and even though we had rain it wasn't enough to drown them. Whoop. Just one looked a bit annoyed at me and was flopping down. The rest are totally fine.
One thing that has been so successful and what I will be doing every September from now on, is spinach. I sowed a packet last Sept and we were eating spinach every week all winter from November on; but since Feb we have had more than we are able to cope with; i cut a bed back and gave the whole lot to the worms before we went away, and coming back it's all grown back and I've got tonnes again.
Plus I am not harvesting radishes sown mid feb. Usually, they would get eaten before I had time to even pull them but in these beds, no nibbles, they are all shiny and round and lovely.
I really like the method of sowing mixed seds, so am picking these radishes out of the mixed salad bed and leaving the salads, beets, claytonia, new spinach and all the other stuff in there to grow on in a cut and come again style. It means it crops over a very long period and wastes no space. Splendid.