Hard questions

in a starting position, get your to e1 in four moves (black rook)

from h8 to e1

This took me way too long to figure out.

if you figured it out, post it or say it in notation

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If you have to follow normal chess rules e.g. not allowed to take the king, then I don't se a solution.

Easy! You take your rook and put it on the required square

this chat is over

Impressive!

now how many moves does it take to checkmate someone that is always mirroring white (ex. b4 b5 nh3 nh6 so on)

First try without checks so it is possible to mirror the whole way: 1 g4 g5 2.f4 f5 3.gxf5 gxf4 4.Nf3 Nf6 5.Ng5 Ng4 6.f6 f3 7.f7#

nope

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it needed to be legal

Second try: 1.e4 e5 2.Qh5 Qh4 3.Kd1 Kd8 4.Qxf7 Qxf2 5.Qxg7 Qxg2 6.Qxf8#

Third try: 1.c4 c5 2.Qa4 Qa5 3.Qc6 Qc3 4.Qxc8#

it is in 4 moves but not what i had in mind