Am I just being too ainxtous?
I would say you are bring a bit anxious. Both seem to be doing fine, first one will for sure survive. Second one is iffy, but still looks hardy enough to survive.
Also 1000w watts for seedlings is about 100x too much. What light do you have?
Here is my experience from seedlings. I tend to transplant them after they are over a couple inches from a paper towel, and within hours after placing under light they are pointing up.
If you planted seeds in the soil 2 days ago, you are being impatient. I do 2 days in a paper towel, lightly saturated with water, and placed in a sealed container. Then place into the pot.
All you need for seedlings is regular soilless mix with no nutrients. Avoid hot soil mixes to allow the first set of true leaves to flourish.
You got another week or two before these guys take off.
Sit back, don't over water, and keep a stable environment. That is key. You can tell by the thick stem on these guys, that they are doing well. Sometimes you get a runt seed that takes a while. Plant more seeds to avoid and replace runts.
Good luck, not that you need it.