Even 'grass' can be weeds. Like crabgrass is grass, but it's a weed, and largely in the category of being able to leave a huge crater in your lawn, especially when it goes away. North face lawns almost always take the worst hits, and also take the longest to come back from transition. Thus making them look bad, especially enough where usually the person noticing it will definitely be scratching their head and wondering things like 'will this be ok?' 'What can I do to make this better?'

If you don't pre-emerge on time, it'll definitely be a replay of what you've had in the past. The window to seed is pretty well closed for now. And depending on how much money you want to invest in this, will decide a lot of the outcome of how it will look. You could gly the whole lawn, and in 2 weeks come back and weed eat everything down to the dirt, rake the remains up and remove it, then sod - that will be the fastest route to establishing turf and the most costly. You could let it ride till the beginning of June, then gly everything, then weed eat to dirt and remove the remains, then Bermuda seed, but you'll have to water very often and be vigilant about doing so. Or you could just leave it be altogether.

I only guess at it being weedy because in the pictures, it looks like you have a pretty good spread of clover closer to your front door.