Properly constrained sketches are vital to a robust and useful model. An unconstrained sketch is an accident waiting to happen, because it is very easy to unintentionally move an unconstrained sketch element, thereby changing your model in ways you never intended (and may not notice until it's too late).
In this particular case, you should be able to select the complete path with one click, but that requires that all the end points are connected to each other. I suspect that you also want tangent constraints between the elliptical curves and the connected lines on each end.
Question: why doesn't your sketch have these dimensions and constraints? How did you create it without them? It's actually somewhat difficult to create a sketch without constraints being created automatically, but yours has only a few that you created afterwards.
As far as the glyphs you're seeing in the sketch, the yellow squares indicate coincident constraints, and if you hover your cursor over them, you will see glyphs for each participating element [you can hover over them individually to see the corresponding element highlighted; you can also right click and delete these individual participants]. I am using a different color scheme than you are, so I'm not sure what "small blue squares" are, but they may be sketch points, such as the centers of the elliptical curves.
Sam B
Inventor Pro 2022.0.1 | Windows 10 Home 20H2
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