Yes, I can install your carpet up to a tile or wood floor. Its becoming common to do the hallway in a hard surface and meet the bedroom carpets to the edge of the wood or tile flooring. Yes, in extreme urine cases I recommend sealing the floor because the urine has migrated to the subfloor. A cement or wood floor absorbs urine and should be treated to keep out the odor and keep the pet from going back to that area. I also replace tack-strip as well. Expect the patch to be larger than the stain on top because urine will spread throughout the back of the carpet!