Minato wins both of them.
1- his FTG will make it impossible for the Rinngan's linked vision to see him regardless. Minato often use his Kunai to attack to Preta path is useless. Minato even in base was MUCH faster than all the Hokages and Taka + Oro, so I'm not sure how will pain react to that. If Deva used his BT to bring Minato to him in order to attack him, Minato can eaisly use FTG to any Kunai, therefore this ability is useless as well. and for the animal path he can use his frogs to deal with them
until he destroys that path. Minato can use barriers as well as he said in Kushina's flashback to separate the paths.
Nuraka path has no chance to catch Minato, he hardly did it against Konohmaro, the same with Human path and even if
they did it, it's useless since it won't be enough to hold Minato because of the FTG. Now if Asura path used his ability
Minato can easily dodge them by his Base Speed or FTG or even redirect then by the barrier. The same against CT or ST.
and if Minato used his RM then even if the ST hits him that won't be enough to mange him. Saying Prata path will absorbed his chakra is cool, but good luck to catch him. LOL
2- Nagato should be even easier since he can't even walk.