Help with this Lawn Problems

You have dandelions (top photo) and clover (bottom). Clover isn't overally offensive like dandelions and bees love them. Both are perannials and are tough to get rid off. Fall is the ideal time to treat these weeds as they are building up their reserves at that time for winter. If you don't kill the root, their not dead. Products like fiesta or weed b gon will buy you some time, but they likely won't kill larger weeds. Using a nitrogen fertilizer will help your lawn to compete with them. If your not hung up on rules, try getting some killex and give them a good shot in the fall.

what if the op pulls em out by hand wiht the root intact one by one?!? It's tedious but wouldn't that be wham bam...?

Start using corn gluten.

I pulled out as much of the dandelion as I could this afternoon by hand, and I also bought weed b gon to be used on the clover weed when the weather warms up.