The teleportation tiles currently don't have an animation attached to them. The player just shoots across from one to the other. The plan is to actually have a small poof of smoke/dust before the player appears on the corresponding paired teleportation tile. It's cool to see where you're going though.
The stars were originally going to just be "collect one and it ticks up the stars unlocked". Then I thought about one of my favorite games Captain Toad: Treasure Tracker and how they deal with the diamonds on each level. The reason having unique stars is that it allows people to ask "how did you get Star #2" and others will know exactly what they're talking about.
My plans for next week are to add star counters on the level select screen and to create just a level or two to see if they work. This means adding exits to story levels!