LVT is pretty legit, regular vinyl flooring is trash.
Sidenote as a subcontractor, and former maintenance supervisor...the door jamb crack is quite easy to fix. Only need minor tools and material to fix it amd shouldnt take you with no experience more than 1.5 hours (thats if you dont even know how to operate a drill or screwdriver lol). You dont need an oscillating tool to pry off the molding. Simply a utility knife, hammer and flat bar is needed.