Looks and feels are really nice, gratz. I really like how You went all in with the mechanics and explored almost all possibilities in the field, like this randomizing points to the ally when hitting it. I also liked that the dead dice stay in the field and block movement.
Honestly I think the mouse control was almost okay, though its not that good on touch (there's no way to see the number on the dice above because it says "pass"). And I see You apparently have no idea how to fix it. The throw button could very well be in the middle of the screen and there would be no problem with pressing beneath it. You could also utilize double taps, like a confirmation to pass, to move, or even You could do changing modes (move/pass/throw) but this could slow down the flow of game. If You focus only on mouse, then you could also utilize right mouse button to pass, simple - though probably not so if You have a touchpad.
I really disliked the RNG. The game can go well and then suddenly it flips on its head and you lost. Great. You could fix this by just providing what values will come next. Like in tetris, where You see what piece will be next, You could just show the next number and change only one each time. This would however change the game a bit, minimized the chaos factor. You could also just show all next numbers, but it would be difficult to do it in a visually pleasant way.
Maybe it could go completely another way around, like displaying the numbers on the field, and have them randomly move left, right, up down. Or randomize only at the beginning of the game, but when You kill the enemy You get its weaker number, which would balance the game evenly. Possibilities are probably endless;)