You'll need to let the area dry for a couple days before you can patch it. Thin set mortar to set the tiles (may need to chip some of the old away). Grout to fill between the tiles at least 8 hours after the tiles are set. All can be spread with a trowel, float, or your fingers. A sponge and a towel to remove the excess grout. Let dry at least 24 hours before refilling. I don't like pre-mixed mortar or grout, I haven't had good luck with it. I'm sure others have.