'Weeds' can be indicators about your soil and what your soil problems might be. Then many 'weeds' are wildflowers. A 'weed' is just a plant you do not want growing where you do not want it growing.
The Crab Grass you see is dead and will not grow again athough the seeds those plants produced may well. Creeping Charlie is a perennial and indicates your soil probably is nutrient poor and does not drain well. While correcting those problems will not totally eliminate CC it will help some.
Spraying 'weed' killers can create as many or more problems then they solve and will do considerable harm to our environment. Using mulches is one good method of 'weed' control. Newspaper or cardboard placed on the soil, over these 'weeds' will deprive them of the sunlight they need to grow so they die. While mulches are not the total solution to 'weed' problems they do help quite a lot and if vegetative types of material are used they also provide, over time, organic matter to the soil.

Here is a link that might be useful: weeds as soil indicators

I have used newspaper and cardboard to cover areas and block weed growth and it works great. Cut the weeds down so the newspaper lays pretty flat (about 6 sheets thick) and you can rip it or fold it to contour around desirable plants. Don't let the newspaper touch the plant stems. Then you will need mulch to hold the paper down. I use bags of shredded leaves that I collected in fall from other people's curbs.

This way you will not need to kill or pull the weeds. Most will rot under the paper. For beds that have no good plants in them or at least large areas in between, you can lay big pieces of cardboard. Then mulch on top to hold it down and look better.

If you weed an area, the weeds will probably just come back if you don't block them. There are so many weed seeds just waiting to sprout. Plus the perennial weeds that haven't been completely killed (broken off roots, leftover plant crowns) I believe the Preen is unnecessary in areas you use a paper covering.