I haven't this kind of material
But it seems the console is not the problem : I brought it to the retro-shop where he tested it with its own power supply and it worked like a charm for hours. So I bought another power supply and tested it at home : it works perfectly with Sonic 1 catridge, but it still crashes with the Mega Everdrive.
So I need to check the Mega Everdrive like said above. But I'm still stuck with the screws to open the catridge. It's a regular catridge (the screws are the same than the one of Sonic 1). What do you exactly need to open this ? I don't find something suitable at the tool shops near my home, it seems specialized.