I am building a teleport room on my res, with a bunch of signs. However when I walk a few blocks, its starts teleporting me, even though I didn't click on the teleport sign. Could EMC please fix this glitch?
That is the problem indeed. Look at this wiki page, this section explains how signs can be activated. So; 2 blocks below or above the plate will trigger the sign. You definitely will need more room.
That's also by design. See the section above the pressure plates; 'movement'. Although a pressure plate can be used you can also opt. to simply use a solid block instead.
Movement(top) Feature Signs can be activated by walking over a solid block. The activating players feet can be in air, powered redstone wire, water, lava and portals. The player must be 2 blocks above the sign.