Making entity follow player's path

[any name you wish]

So, I'm trying to make a script that allows players to ride sheep like pigs except without saddles or carrots. Currently, I am testing this on wolves. Everything works but the wolf doesn't jump when it hits a wall and the wolf can't turn. I am not using any addons and will refuse to use any.

Code:

on right click on wolf:
    if player's tool is air:
        set {_%player%.pet} to targeted entity
        make player ride wolf
        set {%player%.rdn} to 1
        while {%player%.rdn} is 1:
            wait 1 tick
            push {_%player%.pet} In the horizontal direction of the player with force 0.2
            set {_look} to player's yaw * -1
            set {_loc} to location of {_%player%.pet}
            set {_loc}'s yaw to {_look} parsed as integer
            set {_loc}'s pitch to 0
            teleport {_%player%.pet} to {_loc}
            if player is not riding {_%player%.pet}:
                set {%player%.rdn} to 0