As above, rake or dethatch as soon as practical but not when ground is wet.
One big mistake to avoid: Crabgrass killer (or combination “weed and feed” products that contain crabgrass killer) is a pre-emergent chemical. This means it kills the germ of the crabgrass seed before it germinates. The issue is if you put down crabgrass killer, and also over-seed with new grass seed, the crabgrass killer will also kill the germ of the new grass seed you put down.
So do NOT put down crabgrass killer or a combo product that contains it if you intend to overseed to fill in bare spots. Over seeding is great if you need it, but do proper prep or you’re just wasting seed. Also buy the correct grass seed for the application. Using shade seed in shady areas and full sun seed in high-sun areas makes a huge difference vs generic “all purpose” seed which is mostly crap.
Keep on top of dandelions with 2-4-D spray. IMO the hose-end sprayer is the way to go, just do the whole lawn. Spot spraying for dandelions IMO is a waste of time because you miss as many of them as you kill so it’s a never-ending process.
I would personally let the lawn wake up a little more before you apply the first dose of fertilizer. Nitrogen is what makes the lawn green and nitrogen is easily lost through evaporation and runoff, so IMO it’s better to wait until the lawn is ready to use it before putting it down.
Do NOT over-fertilize and burn the lawn. The right amount is good. More than the right amount is very bad. Make sure your spreader works and shut off the spread at the end of every pass to avoid dumping fertilizer at every turn or over-applying at the end of each pass.
Personally, I would apply fertilizer in mid-late April and then again about 10-14 days before the event. Also get your last round of weed control in at least 7 days before the event to give time to achieve a kill and get rid of that “lawn spray” smell.
Lastly, don’t scalp the lawn. Most guys mow way, way, way too low. I mow at the 2 inch setting in spring/early summer and then even longer in the high summer. I’m not sure that’s exactly the length the mower cuts but the point is longer is better than shorter because you get the thicker look and the grass is happier and stays greener.