The script that checks the progress for this badge only runs once per day, as the question has to be well-received at the end of the day (UTC time). That also means the question must have had a positive net score. That means that you don't get the progress for the question you asked today in the progress bar today. But tomorrow it should get updated and show 3/5.

About the reason why it currently doesn't show 3/5: Can you take different archetype options at different levels? was closed at some point and as Lauren pointed out (emphasis mine):

If you ask at least one well-received question in a UTC day and none of your questions that day are deleted, downvoted, or closed, you get one more day of credit toward the badge.

The fact that your question was closed prevents it from being counted towards the badge, even if it was reopened shortly thereafter.

Currently only If an attack alerts someone to your presence, can their initiative save them from being surprised in time? and Are there ways other than Kensei Weapons or Hex Warrior to use an ability other than STR for non-finesse melee weapons? haven't been closed and had a net positive score on their first day of being on the site as noted by the daily running script.

The script that checks the progress for this badge only runs once per day, as the question has to be well-received at the end of the day (UTC time). That also means the question must have had a positive net score. That means that you don't get the progress for the question you asked today in the progress bar today. But tomorrow it should get updated and show 3/5.

About the reason why it currently doesn't show 3/5: Can you take different archetype options at different levels? was closed at some point and as Laurel pointed out (emphasis mine):

If you ask at least one well-received question in a UTC day and none of your questions that day are deleted, downvoted, or closed, you get one more day of credit toward the badge.

The fact that your question was closed prevents it from being counted towards the badge, even if it was reopened shortly thereafter.

Currently only If an attack alerts someone to your presence, can their initiative save them from being surprised in time? and Are there ways other than Kensei Weapons or Hex Warrior to use an ability other than STR for non-finesse melee weapons? haven't been closed and had a net positive score on their first day of being on the site as noted by the daily running script.