Looking at Mystical Movement, there are some cool ideas. At first I was wondering about the place-swap (Tether+Mystic Rope) being too powerful, but it looks relatively reasonable - it's not a teleport swap, it's got some restrictions on use. I would put something in about barriers - the battlement example sounds almost like you could drag someone across a deep pit or pool with this, which would make it much more powerful. And if the parties pass within 5', can they make a melee attack if their weapon reaches? Do you need to specify a rate of movement for the swap, or is it a full round slide?
The other spell that caught my eye was Cut Space. The description actually says it cuts space-time, not just space. I would take "-time" off here, but that leaves you with an opportunity to make a "Cut Time" spell - maybe at the 8th level slot? That could make a small rend in time, but a fixed location, that would allow the caster to push an object forward or backward (oh noooo! Time paradoxes!) some relatively brief time interval, maybe max at 1 round/level.
Imagine using that to put something temporarily out of an enemy's reach, or to make a hand-off but have an alibi for being elsewhere at the time.