Four passed pawn for a rook ... not winning

[xr_a_y]

Without an engine do you see this is a win for white ?

[d] 4k3/7R/2p1pppp/N3p3/P4n2/7P/1p6/5K2 w - - 0 47

For an engine, is this something only search can handle or there are some eval features to improve ?

Does somebody's engine get a mate ?

[xr_a_y]

And this may be only a draw (or even still a win for white ???)

[d] 4k3/7R/2p1pppp/N3pppp/P4n2/7P/1p6/5K2 w - - 0 1

[xr_a_y]

Still draw ???

[d] 4k3/7R/2p1pppp/N3pppp/P4n1p/7P/1p6/5K2 w - - 0 1